. Velocity A ball is thrown vertically into the air from the ground with all velocity of 96 ft/sec. Its height, in feet, as a function of time, in seconds, is giv by h(t) = 96t – 16 t² . Find the velocity of the ball at t = 0, 1, 2, 3, 4, 5, a 6 seconds, using proper notation (you can use either prime or Leibniz). Then this to sketch the graph of the ball's velocity as a function of time. What do notice about its shape? Explain in terms of the application (a ball experienc- the force of gravity). h(t) = 96t - 1 140

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4.
5. Velocity A ball is thrown vertically into the air from the ground with an initial
this to sketch the graph of the ball's velocity as a function of time. What do you
notice about its shape? Explain in terms of the application (a ball experiencing
the force of gravity).
velocity of 96 ft/sec. Its height, in feet, as a function of time, in seconds, is given
by h(t) = 96t – 16 t² . Find the velocity of the ball at t = 0, 1, 2, 3, 4, 5, and
6 seconds, using proper notation (you can use either prime or Leibniz). Then use
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40
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3.
Transcribed Image Text:4. 5. Velocity A ball is thrown vertically into the air from the ground with an initial this to sketch the graph of the ball's velocity as a function of time. What do you notice about its shape? Explain in terms of the application (a ball experiencing the force of gravity). velocity of 96 ft/sec. Its height, in feet, as a function of time, in seconds, is given by h(t) = 96t – 16 t² . Find the velocity of the ball at t = 0, 1, 2, 3, 4, 5, and 6 seconds, using proper notation (you can use either prime or Leibniz). Then use | 140 - 0- 40 08 60- 08- -0- 1. 2. 3.
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