Question

the velocity of particle moving in a straight line varies with time as v=A+Bt where t is time .the acceleration of particle is.
(please explain the rule applied)

Answer 1

Answer:

B m/s^2

Explanation:

acceleration = $\frac{d}{dt}$ (velocity)

               a = $\frac{d(A+Bt}{dt} \\=0+B\\=B m/s^2$

Answer 2

Given : The velocity of a particle moving in a straight line varies with time as v = A + Bt, where t is time.

To Find : The acceleration of particle

AB

B/A

B

A​

Solution:

acceleration is rate of change of velocity

v =  A + Bt

dv/dt  =  B

acceleration  = dv/dt

Hence acceleration  = B

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