Height of a Ball Let s(t) be the height (in feet) after t seconds of a ball thrown straight up into the air. Match each question with the proper solution. Questions A. What is the velocity of the ball after 3 seconds? B. When is the velocity 3 feet per second? C. What is the average velocity during the first 3 seconds? D. When is the ball 3 feet above the ground? E. When does the ball hit the ground? F. How high is the ball after 3 seconds? G. How far did the ball travel during the first 3 seconds? Solutions a. Set s(t)= 0 and solve for t. b. Compute s'(3). c. Compute s(3). d. e. f. Set s'(t) = 3 and solve for t. Find a value of a for which s(a) = 3. Compute [s(3) -s(0)]/3. g. Compute s(3) - s(0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Kindly do the all parts of Q15 Please do.all.parts In the order to get positive feedback Please solve via by hand By hand solution needed please I am repeating you must do all parts
of J(x) when
Change Suppose that
of f(t) over the inter-
change of f(t) when
hange Suppose that
of f(t) over the inter-
change of f(t) when
vertising campaign,
then decrease. Sup-
ising, the daily sales
s the average rate of
t is, from time t = 3
the sales changing
daily output of a
01 +1²-13³ units
t≤ 8. What is the
en 1 = 2?
uid is pouring into
i gallons in the vat.
vat (in gallons per
(a) What is the rocket's initial velocity (when t = 0)?
(b) What is the velocity after 2 seconds?
(c) What is the acceleration when = 3?
At what time will the rocket hit the ground?
(2) 1000
(d)
a straight line travels then (e) At what velocity will the rocket be traveling just as it
2+41.
smashes into the ground?
= 62
hours?
rate of 6 kilometers
raight up into the
tion in feet after t
mum height? [Hint:
e rocket reaches its
y the rocket?
5, where s(t) repre-
ght line.
te Bo
A
C
y=8(t)
Figure 60
13. Position of a Toy Rocket A toy rocket fired straight up into the
air has height s(t) = 160r16r2 feet after t seconds.
D
14. Height of a Helicopter A helicopter is rising straight up in the
air. Its distance from the ground 1 seconds after takeoff is s(t)
feet, where s(t) = 1² + 1.
(a) How long will it take for the helicopter to rise 20 feet?
(b) Find the velocity and the acceleration of the helicopter
when it is 20 feet above the ground.
15. Height of a Ball Let s(t) be the height (in feet) after t seconds
of a ball thrown straight up into the air. Match each question
with the proper solution.
e.
f.
g.
Questions
A. What is the velocity of the ball after 3 seconds?
B. When is the velocity 3 feet per second?
C. What is the average velocity during the first 3 seconds?
D. When is the ball 3 feet above the ground?
E. When does the ball hit the ground?
F. How high is the ball after 3 seconds?
G. How far did the ball travel during the first 3 seconds?
Solutions
a. Set s(t) = 0 and solve for t.
b. Compute s'(3).
c. Compute s(3).
d.
Set s'(t) = 3 and solve for t.
Find a value of a for which s(a) = 3.
Compute [s(3)
Compute s(3) - s(0).
s(0)]/3.
16. Average Speed Table 2 gives a car's trip odometer reading
(in miles) at 1 hour into a trip and at several nearby times.
What is the average speed during the time interval from 1 to
1.05 hours? Estimate the speed at time 1 hour into the trip.
Transcribed Image Text:of J(x) when Change Suppose that of f(t) over the inter- change of f(t) when hange Suppose that of f(t) over the inter- change of f(t) when vertising campaign, then decrease. Sup- ising, the daily sales s the average rate of t is, from time t = 3 the sales changing daily output of a 01 +1²-13³ units t≤ 8. What is the en 1 = 2? uid is pouring into i gallons in the vat. vat (in gallons per (a) What is the rocket's initial velocity (when t = 0)? (b) What is the velocity after 2 seconds? (c) What is the acceleration when = 3? At what time will the rocket hit the ground? (2) 1000 (d) a straight line travels then (e) At what velocity will the rocket be traveling just as it 2+41. smashes into the ground? = 62 hours? rate of 6 kilometers raight up into the tion in feet after t mum height? [Hint: e rocket reaches its y the rocket? 5, where s(t) repre- ght line. te Bo A C y=8(t) Figure 60 13. Position of a Toy Rocket A toy rocket fired straight up into the air has height s(t) = 160r16r2 feet after t seconds. D 14. Height of a Helicopter A helicopter is rising straight up in the air. Its distance from the ground 1 seconds after takeoff is s(t) feet, where s(t) = 1² + 1. (a) How long will it take for the helicopter to rise 20 feet? (b) Find the velocity and the acceleration of the helicopter when it is 20 feet above the ground. 15. Height of a Ball Let s(t) be the height (in feet) after t seconds of a ball thrown straight up into the air. Match each question with the proper solution. e. f. g. Questions A. What is the velocity of the ball after 3 seconds? B. When is the velocity 3 feet per second? C. What is the average velocity during the first 3 seconds? D. When is the ball 3 feet above the ground? E. When does the ball hit the ground? F. How high is the ball after 3 seconds? G. How far did the ball travel during the first 3 seconds? Solutions a. Set s(t) = 0 and solve for t. b. Compute s'(3). c. Compute s(3). d. Set s'(t) = 3 and solve for t. Find a value of a for which s(a) = 3. Compute [s(3) Compute s(3) - s(0). s(0)]/3. 16. Average Speed Table 2 gives a car's trip odometer reading (in miles) at 1 hour into a trip and at several nearby times. What is the average speed during the time interval from 1 to 1.05 hours? Estimate the speed at time 1 hour into the trip.
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