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)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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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