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A body is moving along a given path has displacement(x) as a function of time (t) ,given by, x=5t²-7t-8.calculate the time it will take to come to rest.

  1. A body is moving along a given path has displacement(x) as a function of time (t) ,given by, x=5t²-7t-8.calculate the time it will take to come to rest. 

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Grade:11

2 Answers

Arun
25750 Points
5 years ago
Dear student
 
Find dx/dt andake it to 0.
 
 
You will get the time.
 
 
Regards
Arun (askIITians forum expert)
Khimraj
3007 Points
5 years ago
x=5t²-7t-8
v = dx/dt = 10t – 7
body will be at rest when velocity become zero.
so v = 0
10t – 7 = 0
so t  = 7/10 sec
Hope it clears.............

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