A partical is subjected to an acceleration a= alpha t^(1) + beta t^(2) , where alpha and beta are constants. The velocity of the partical at t = 0 is v0. What is the expressions for velocity v of the particle at time t?

A partical is subjected to an acceleration a= alpha t^(1) + beta t^(2)

1.	A partical is subjected to an acceleration a= alpha t^(1) + beta t^(2) , where alpha and beta are constants. The velocity of the partical at t = 0 is v0. What is the expressions for velocity v of the particle at time t?
Answer» SOLUTION :`V = v_(0)+(1)/(2)alphat^(2)+(1)/(3)betat^(3), x = x_(0)+v_(0)t+(1)/(6)alphat^(3)+(1)/(12)betat^(4)`