Question

A particle has initial velocity of `2hat(i)` and has constant acceleration of `3hat(j)` . Find its displacement and velocity after 3s. If initially, the particle is located at `3hat(i) +4hat(j)` , find its final location.

Answer 1

`vec(v)=vec(u)+vec(a)t=2hat(i)+(3hat(j))3=(2hat(i)+9hat(j))`
`vec(s_(2))-vec(s_(1))=vec(u)t+(1)/(2)vec(a)t^(2)=(2hat(i))(3)+(1)/(2)(3hat(j)(9))`
`vec(s_(2))=6hat(i)+(27)/(2)hat(j)+3hat(i)+4hat(j)`
`=(9hat(i)+(35)/(2)hat(j))`