Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is 360 meters, or s(t) = 360 is a maximum for some t. If s(t) is a maximum, then for this value of t the value of the velocity function is v(t) = Substitute this value for v(t) and solve for t. v(t) = -9.8t + v(0) 0 = -9.8t + v(0) = v(0) v(0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Step 4
Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is 360 meters, or s(t) = 360 is a maxirmum for some t.
If s(t) is a maximum, then for this value of t the value of the velocity function is v(t) =|
Substitute this value for v(t) and solve for t.
v(t) = -9.8t + v(0)
0 = -9.8t + v(0)
t = v(0)
v(0)
Transcribed Image Text:Step 4 Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is 360 meters, or s(t) = 360 is a maxirmum for some t. If s(t) is a maximum, then for this value of t the value of the velocity function is v(t) =| Substitute this value for v(t) and solve for t. v(t) = -9.8t + v(0) 0 = -9.8t + v(0) t = v(0) v(0)
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