Question

Find if the following conditions hold: r"(t) = a for all real t, r'(0) = 0, r(0) = b?

Answer 1

r'(t)=integral of a=at+C but r'(0)=0 so C=0
so r'(t)=at

r(t)=integral of at=at^2/2 +A but r(0)=b so A=b
thus r(t)=at^2/2 + b

Answer 2

Thanks! I see what to do now.