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An object that is vertically projected or falls from the sky has a velocity of v and is given by v = -32t + vo

An object that is vertically projected or falls from the sky has a velocity of v and is given by v = -32t + vo, where v is the velocity in feet/sec, t is the time in seconds, and vo is the initial velocity in feet per second. If the initial velocity is 152 feet/sec, and the velocity v is in the range of 30 < v < 60, find the time interval t.
 
____ (<>≤≥) t (<>≤≥) ____

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Arturo O. | Experienced College Instructor for Physics TutoringExperienced College Instructor for Physi...
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The 2 endpoints of the time interval are the solutions to
 
30 = 152 - 32t
 
and
 
60 = 152 - 32t.
 
Solve for t in both equations, and those will be your endpoints in time.  You can finish from here.