Problem $1(30$ points$)$: A car starts from rest and moves along a straight line with an acceleration of $a=\frac{4}{s^{-\frac{1}{2}}}(\frac{m}{s^2})$ where $s$ is in meters. Determine the car's acceleration when $t=5s.$

Problem $2(30$ points$)$: Given the $v-t$ graph as shown.

Draw the $a-t$ graph

Determine the distance traveled for the $0-12s$ interval and the average velocity over this period of time.

Problem $3(40$ points$)$: Find the range of speed $v_A$ at which that water from the nozzle does not splash over the sides of basin B & C$?$ Here, $=45,h=60mm,s=150mm,l=320mm$