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The x and y coordinates of the particle ...

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

A

`5"m/s"^(2)`

B

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

C

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

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(x=5t-2t^(2),y=10t),(v=(dx)/(dt)=5-4t,v=(dy)/(dt)=10),(a_(x)=(dv)/(dt)=-4"ms"^(-2),a_(y)=0):}`
`a=-4"m/s"^(2)`
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