Instantaneous Velocity of a Ball In physics it is shown that the height s of a ball thrown straight up with an initial velocity of 96 ft/sec from ground level is, s = s ( t ) = − 16 t 2 + 96 t where t is the elapsed time that the ball is in the air. a. When does the ball strike the ground? That is, how long is the ball in the air?

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Answer 1

Question

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

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There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…

Answer 2

Question

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Answer 6

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

Answer 7

Chapter 14.4, Problem 47AE

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

a. When does the ball strike the ground? That is, how long is the ball in the air?

Answer 8

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

Answer 9

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

b. What is the average velocity of the ball from $t = 0 to t = 2$ ?

Answer 10

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

Answer 11

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

c. What is the instantaneous velocity of the ball at time $t$ ?

Answer 12

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

Answer 13

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

d. What is the instantaneous velocity of the ball at $t = 2$ ?

Answer 14

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

Answer 15

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

e. When is the instantaneous velocity of the ball equal to zero?

Answer 16

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

Answer 17

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

f. How high is the ball when its instantaneous velocity equals zero?

Answer 18

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Answer 19

To determine

To find: Instantaneous Velocity of a Ball In physics it is shown that the height $s$ of a ball thrown straight up with an initial velocity of $96 ft/sec$ from ground level is,

$s = s (t) = - 16 t^{2} + 96 t$

where $t$ is the elapsed time that the ball is in the air.

g. What is the instantaneous velocity of the ball when it strikes the ground?

Answer 20

Expert Solution & Answer

Answer 21

Expert Solution & Answer

Answer 22

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Check out a sample textbook solution

See solution

Answer 23

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