Define what is meant by displacement.
Define what is meant by acceleration.
A remote-controlled toy car goes up a ramp and crosses a gap before landing on another ramp, as shown in Fig. 1.1. It leaves ramp P with speed $5.5\,\text{m s}^{-1}$ at an angle $\theta$ to the horizontal. As it leaves the ramp, its horizontal velocity component is $4.6\,\text{m s}^{-1}$. It lands at the top of ramp Q. The top surfaces of both ramps are at the same height and are separated by distance $d$. Air resistance is negligible.
Show that the car leaves ramp P with a vertical velocity component of $3.0\,\text{m s}^{-1}$.
Determine the time taken for the car to move between the ramps.
Calculate the horizontal distance $d$ between the tops of the ramps.
Calculate the ratio $\dfrac{\text{kinetic energy of the car at its maximum height}}{\text{kinetic energy of the car as it leaves ramp P}}$.
Ramp Q is removed. The car leaves ramp P again as in (b) and then lands directly on the ground. It leaves ramp P at time $t = 0$ and reaches the ground at time $t = T$. On Fig. 1.2, sketch how the vertical component $v_y$ of the car’s velocity varies with time from $t = 0$ to $t = T$. You do not need to show numerical values of $v_y$ or $t$.