What is the average speed of an object that is moving at 30 m/s30ms at t=0t=0 and accelerates at a rate of a(t) =5-2t^2a(t)=52t2 on t in [0,5]t[0,5]?

1 Answer
Feb 10, 2016

V=-28,3 m/sV=28,3ms

Explanation:

v=int a *d tv=adt
v= int_0^5 (5-2t^2)*d tv=50(52t2)dt
v=[5*t-(2*t^3)/3]_0^5+Cv=[5t2t33]50+C
v=[5*5-(2*5^3)/3]-[0]+Cv=[552533][0]+C
t=0 ;v=30 ;C=30t=0;v=30;C=30
v=25-250/3+30v=252503+30
v=55-250/3v=552503
v=(165-250)/3v=1652503
V=-28,3 m/sV=28,3ms