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Question

If x=at2 and y=2at, then d2ydx2 at t=2, is

A
116a
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B
116a
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C
116
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D
1a
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Solution

The correct option is B 116a
We have, x=at2 and y=2at
dxdt=2at and dydt=2a
dydx=(dydt)(dxdt)=1t
Now,
d2ydx2=1t2dtdx=1t212at=12at3
At t=2,d2ydx2=12a(2)3=116a
Hence, option A is correct.

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