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If a=A cos 4t+B sin4t, then (d^(2)x)/(dt...

If `a=A cos 4t+B sin4t,` then `(d^(2)x)/(dt^(2))` is equal to

A

`-16 x `

B

`16 x `

C

x

D

`-x`

Text Solution

Verified by Experts

The correct Answer is:
A
Here , ` x = A cos 4t + B sin 4t `
` rArr (dx)/(dy) =- 4A sin 4t + 4B cos 4t `
` rArr (d^(2) x)/(dt^(2)) = - 16A cos 4t 0 16 B sin 4t`
` rArr (d^(2) x)/(dt^(2)) = - 16 x `
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