Question

The acceleration function and the initial velocity for a particle moving along a line are: a(t)= 2t + 3, v(0)= -4, 0 15 years ago

Answer 1

You're given a(t) , which is the change of velocity over time.

Integrate this function with respect to t, and you have a velocity function.
Don't forget that when you integrate there is a constant C, ( this should be the velocity when time equals zero)

After you have solved for this constant, integrate again to get a position function, but this time integrate from t= 0 to 3 and you should have your answer

Answer 2

a(t)= 2t + 3,
v(0)= -4, 0<t<3

distence travelled , s(t)= ut + integral . ( 1/2 a(t)^2)
= -12+1/2*integral (a(t))^2