Question

The acceleration a of a particle starting from
rest, varies with time according to relation
a = αt + ß. The velocity of the particle at time
instant t is​

Answer 1

Answer:

Hello Dear User__________

Here is Your Answer...!!

____________________

Step-by-step explanation:

$Given \ a=\alpha t+\beta\\\\Acceration(a)=\frac{dv}{dt}\\\\\frac{dv}{dt}=\alpha t+\beta\\\\dv=(\alpha t+\beta)dt\\\\\int\limits dv=\int\limits (\alpha t+\beta)dt\\ \\v=\frac{\alpha t^{2} }{2}+\beta t+c\\\\At \ t=0 \ and \ v=0\\\\v=\frac{\alpha t^{2} }{2}+\beta t\\\\Hope \ it \ is \ clear \ to \ you.$

Answer 2

Answer:

Explanation:

The acceleration a of a particle starting from

rest, varies with time according to relation

a = αt + ß. The velocity of the particle at time

instant t is