Question

Question #46b17

Answer 1

`r(t)=(1/2t^2+3)hati + (e^t-1) hatj`

Explanation:

`r(t)=intv(t)dt=int(t hat i +e^t hat j)dt`

`=(1/2 t^2 +C) hat i + (e^t +D)hatj`.

But since `r(0)= 3 hat i, => C=3 and D=-1`

Hence `r(t)=(1/2t^2+3)hati + (e^t-1) hatj`