Problem 5 A tennis ball is thrown directly downward at the edge of a vertical cliff. The position function of the ball is s(t) = -161² – 32t + 240, where s(t) is the distance (in feet) of the ball from the bottom of the cliff at time t (in seconds). (a) Find the average velocity of the ball from t = 0 to t= 2. (b) Find the instantaneous velocity of the ball at time t = 2. (c) Find the instantaneous acceleration of the ball at time t = 2. Does the acceleration change in time? Interpret your answer in terms of known laws of physics. (d) How long will it take for the ball to hit the bottom of the cliff?

Problem 5 A tennis ball is thrown directly downward at the edge of a vertical cliff. The position function of the ball is s(t) = -161² – 32t + 240, where s(t) is the distance (in feet) of the ball from the bottom of the cliff at time t (in seconds). (a) Find the average velocity of the ball from t = 0 to t= 2. (b) Find the instantaneous velocity of the ball at time t = 2. (c) Find the instantaneous acceleration of the ball at time t = 2. Does the acceleration change in time? Interpret your answer in terms of known laws of physics. (d) How long will it take for the ball to hit the bottom of the cliff?

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Description: Problem 5A tennis ball is thrown directly downward at the edge of a vertical cliff. Theposition function of the ball is s(t) = -161² – 32t + 240, where s(t) is the distance (in feet) of the ball fromthe bottom of the cliff at time t (in seconds).(a)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Problem 5
A tennis ball is thrown directly downward at the edge of a vertical cliff. The
position function of the ball is s(t) = -161² – 32t + 240, where s(t) is the distance (in feet) of the ball from
the bottom of the cliff at time t (in seconds).
(a) Find the average velocity of the ball from t = 0 to t= 2.
(b) Find the instantaneous velocity of the ball at time t = 2.
(c) Find the instantaneous acceleration of the ball at time t = 2. Does the acceleration change in time?
Interpret your answer in terms of known laws of physics.
(d) How long will it take for the ball to hit the bottom of the cliff?

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