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The x and y coordinates if the particle ...

The x and y coordinates if the particle at any time are `x=5t-2t^(2)` and t = 10t respectively, where x and y are in meters and t in second.The acceleation of the aprticle at t = 2 s is

A

0

B

`5m//s^(2)`

C

`-4m//s^(2)`

D

`-8m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`x=5t-2t^(2)" "y=10t`
`(dx)/(dt)=5-4t" "(dy)/(dt)=10`
`v_(x)=5-4t" "v_(y)=10`
`(dv)/(dt)x=-4" "(dv)/(dt)y=10`
`a_(x)=-4 " "a_(y)=0`
Acceleration of particles at t=2s is `=-4 m//s^(2)`
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