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An object moving with speed 6.25m/s is decelarated at given by dv /dt =-2.5root where v is instaneous speed. The time taken to rest

An object moving with speed 6.25m/s is decelarated at given by dv /dt =-2.5root where v is instaneous speed. The time taken to rest

Grade:11

2 Answers

Arun
25763 Points
3 years ago
We have 
dv/dt = -2.5 v^1/2
dt = dv/ -2.5 v^1/2
So the total time taken is
On integrating
t = [-0.8 v^1/2]06.25 
t = 2 sec.
So the object would take two seconds to come to rest.
Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

We have
dv/dt = -2.5 v^1/2
dt = dv/ -2.5 v^1/2
So the total time taken is
On integrating
t = [-0.8 v^1/2]06.25
t = 2 sec.
So the object would take two seconds to come to rest.

Thanks and Regards

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