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The acceleration of a particle starting from rest varies with time as a = αt + β. The velocity of the particle at time t is

The acceleration of a particle starting from rest varies with time as a = αt + β. The velocity of the particle at time t is
 

Grade:11

1 Answers

Aditya Vaidya
13 Points
one year ago
In this question, we are given acceleration as a function of time. To find velocity as a function of time we can integrate the function as follows:
\alpha t+\beta….given
a=dv/dt=\alpha t+\beta
\int dv=\int \alpha t+\beta dt
v=\alpha t^2/2+\beta t

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