I need help for letter c please Free Response-A tennis ball is mounted on a spring that is suspended from a ceiling inJohn's dorm room. For entertainment, stress relief, boredom or just for apure conversation piece, the tennis ball can be pulled down and releasedand the ball will bounce up and down. The function below, H(t) representsthe height in feet that the tennis ball is from the floor at any given time t,measured in seconds, after the ball is pulled down and released.H(t) = 5 + 3 cos(1.25nt – 0.5)a. Find the values of H(1.9) and H'(1.9). Then explain, using correct units of measure, what eachvalue represents in the context of this problem.b. At t = 3, is the ball ascending or descending? Give a reason for your answer based on H'(t).H'(t)c. Find an equation for H'(t) and sketch the graph of H'(t)on the grid below for 0

Change in height of the tennis ball with respect to time is given according to the equation;…

Answered: ↑H'(t) c. Find an equation for H'(t)…

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↑H'(t) c. Find an equation for H'(t) and sketch the graph of H'(t) on the grid below for 0 < i < 4. 12 12

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 78PQ

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Question

I need help for letter c please

Free Response-
A tennis ball is mounted on a spring that is suspended from a ceiling in
John's dorm room. For entertainment, stress relief, boredom or just for a
pure conversation piece, the tennis ball can be pulled down and released
and the ball will bounce up and down. The function below, H(t) represents
the height in feet that the tennis ball is from the floor at any given time t,
measured in seconds, after the ball is pulled down and released.
H(t) = 5 + 3 cos(1.25nt – 0.5)
a. Find the values of H(1.9) and H'(1.9). Then explain, using correct units of measure, what each
value represents in the context of this problem.
b. At t = 3, is the ball ascending or descending? Give a reason for your answer based on H'(t).
H'(t)
c. Find an equation for H'(t) and sketch the graph of H'(t)
on the grid below for 0<t < 4.
12
-12-

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