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Displacement (in metre) of a particle va...

Displacement (in metre) of a particle varies with time (in second) is given as `y(t) = 4t ^(2) - 16t +5.` Time taken by the particle to come to rest is…….

A

4s

B

3 s

C

6 s

D

2 s

Text Solution

Verified by Experts

The correct Answer is:
D
`y (t) = 4t ^(2) - 16 t + 5`
`therefore v (t) = (d)/(dt) [ 4t ^(2) - 16 t +5]`
`therefore v (t) = 8t - 16`
If `v (t) =0 ` then time is .t.
`therefore 0= 8t. -16`
`therefore t.=2` second
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