Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball is thrown straight up with an initial velocity of 112 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 112t - 16t². (a) What is the average velocity of the ball over the following time intervals? [4, 5] [4, 4.5] ft/sec ft/sec ft/sec [4, 4.1] (b) What is the instantaneous velocity at time t = 4? ft/sec (c) What is the instantaneous velocity at time t = 6? ft/sec Is the ball rising or falling at this time? O rising O falling (d) When will the ball hit the ground?
Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball is thrown straight up with an initial velocity of 112 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 112t - 16t². (a) What is the average velocity of the ball over the following time intervals? [4, 5] [4, 4.5] ft/sec ft/sec ft/sec [4, 4.1] (b) What is the instantaneous velocity at time t = 4? ft/sec (c) What is the instantaneous velocity at time t = 6? ft/sec Is the ball rising or falling at this time? O rising O falling (d) When will the ball hit the ground?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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EX 2.6 Q9
![Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average
rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a.
A ball is thrown straight up with an initial velocity of 112 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 112t - 16t².
(a) What is the average velocity of the ball over the following time intervals?
[4, 5]
[4, 4.5]
ft/sec
ft/sec
ft/sec
[4, 4.1]
(b) What is the instantaneous velocity at time t = 4?
ft/sec
(c) What is the instantaneous velocity at time t = 6?
ft/sec
Is the ball rising or falling at this time?
O rising
O falling
(d) When will the ball hit the ground?
t=
sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2267b4ec-76c2-4b9e-b48b-65217f23fc7c%2F4f53245c-afa9-4181-9c75-d5e982010936%2Fzblcdjs_processed.png&w=3840&q=75)
Transcribed Image Text:Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average
rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a.
A ball is thrown straight up with an initial velocity of 112 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 112t - 16t².
(a) What is the average velocity of the ball over the following time intervals?
[4, 5]
[4, 4.5]
ft/sec
ft/sec
ft/sec
[4, 4.1]
(b) What is the instantaneous velocity at time t = 4?
ft/sec
(c) What is the instantaneous velocity at time t = 6?
ft/sec
Is the ball rising or falling at this time?
O rising
O falling
(d) When will the ball hit the ground?
t=
sec
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