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A particle moves along the x-axis in suc...

A particle moves along the x-axis in such a way that its x-co-ordinate varies with time as `x = 2 – 5t + 6t^(2)`.
The initial velocity and acceleration of particle will respectively be-

A

–5 m/s, 12 m/s

B

5 m/s, –12 m/s

C

–5 m/s, –12 m/s

D

5 m/s, 12 m/s

Text Solution

AI Generated Solution

To find the initial velocity and acceleration of the particle moving along the x-axis, we start with the given equation for the position of the particle as a function of time: \[ x(t) = 2 - 5t + 6t^2 \] ### Step 1: Find the velocity function The velocity \( v(t) \) is the derivative of the position function \( x(t) \) with respect to time \( t \). \[ ...
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