Section one: dynamics $(100$ points total$)$

Q$1.[45$ points total$]$ A toy car has been designed

to cope with a drop in height $(h).$ The car leaves the

upper platform at $u_0^{}=5im.s^{-1}$ and is accelerated at

$-gjm*s^{-2}$

Q$1$a $[10$ points$]$ Define a symbolic kinematic

expression for the displacement of the car from $t_1$

to $t_2$ with respect to the Cartesian reference frame

shown.

$u(t)=f(i,j,t,g,h)$