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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?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 8PS
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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
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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