An object is shot upward from the ground with an initial velocity of 640 ft/sec, and experiencés a constant deceleration of 32 ft/sec2 due to gravity as well as a deceleration of (v(t) / 10) ft/sec2 due to air resistance, where v(t) is the object's velocity in ft/sec. (a) Set up and solve an initial-value problem to determine the object's velocity v(t) at time t. (b) At what time does the object reach its highest point?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An object is shot upward from the ground with an initial velocity of 640 ft/sec, and
experiencés a constant deceleration of 32 ft/sec² due to gravity as well as a deceleration of
(v(t) / 10) ft/sec due to air resistance, where v(t) is the object's velocity in ft/sec.
(a) Set up and solve an initial-value problem to determine the object's velocity v(t) at time
t.
(b) At what time does the object reach its highest point?
Transcribed Image Text:An object is shot upward from the ground with an initial velocity of 640 ft/sec, and experiencés a constant deceleration of 32 ft/sec² due to gravity as well as a deceleration of (v(t) / 10) ft/sec due to air resistance, where v(t) is the object's velocity in ft/sec. (a) Set up and solve an initial-value problem to determine the object's velocity v(t) at time t. (b) At what time does the object reach its highest point?
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