HW #$9$ Rectilinear motion with uniform acceleration Due $11/05/24$ Name:

$\backslash$table$[[$ENGT$,311,01,$Applied Mechanics,TR$,2$:$00-3$:$20,$DPH$-225]]$

Draw Diagram and show all your work.

A motorcycle accelerates at $1\mathrm{.}6\frac{m}{s^2}$ to reach a velocity of $20\frac{m}{s}$ in a distance of $50$ m $.$ Determine its initial velocity and the time elapsed.

A train with a maximum speed of $120k\frac{m}{h}$ has an acceleration rate of $0\mathrm{.}50\frac{m}{s^2}$ and a deceleration rate of $0\mathrm{.}6\frac{m}{s^2}.$ Determine the minimum running time between stations $10$ km apart, if it stops at all stations.