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A particle is moving in a straight line....

A particle is moving in a straight line. Its displacement at any instant t is given by `x = 10 t+ 15 t^(3)`, where x is in meters and t is in seconds. Find
(i) the average acceleration in the intervasl t = 0 to t = 2s and
(ii) instantaneous acceleration at t = 2 s.

A

`15 m//s`

B

`12 m//s`

C

`18 m//s`

D

`6 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
Position of ………..
`t = 3sec. x = 3xx3^(2)+1=28m`
`t = 2sec. x =3xx2^(2)+1=13m`
Diplacement `= 28 -13=15m`
`V_(avg) = (Delta x)/(Delta t) = (15m)/(1sec) = 15 m//sec`
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