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A particle moves along X-axis in such a ...

A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation `x = (2-5t +6t^(2))m`. The initial velocity of the particle is

A

5 m/s, 12 m/s`""^(2)`

B

`- 12 m//s , - 5 m//s ""^(2)`

C

12, - 5 `""m//s^(2)`

D

`- 5 m//s, 12 m//s ^(2)`

Text Solution

Verified by Experts

` x = 2 - 5t + 6 t^(2)` ,
` because V = (dx)/(dt) = - 5 + 6xx 2 xx t `
Initial velocity at t = 0 , v = - 5 m/sec
` because a = (d^(2)x)/(dt^(2)) = 12 m//sec^(2)`
Hence correct answer is (D)
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