Paper 2 Projectile Motion Drills

Q1 Horizontal launch

A marble rolls horizontally from the edge of a bench at $2.40\mathrm{m}{\mathrm{s}}^{-1}$. The bench top is $0.800\mathrm{m}$ above the floor. Air resistance is negligible.

1. State the vertical acceleration of the marble after it leaves the bench. [1]
2. Calculate the time taken to reach the floor. [2]
3. Calculate the horizontal distance from the bench edge to the landing point. [2]
4. Calculate the magnitude and direction of the velocity just before impact. [4]

Q2 Launch at an angle

A ball is launched from level ground with speed $18.0\mathrm{m}{\mathrm{s}}^{-1}$ at $35.0^{\circ }$ above the horizontal.

1. Calculate the horizontal and vertical components of the initial velocity. [2]
2. Calculate the time taken to reach the highest point. [2]
3. Calculate the maximum height above the launch point. [2]
4. Calculate the horizontal range. [3]
5. Explain why the acceleration is not zero at the highest point. [2]

Q3 Component reasoning

Two balls are released from the same height at the same instant. Ball A is dropped from rest. Ball B is projected horizontally.

1. State one assumption needed for the two balls to reach the ground at the same time. [1]
2. Explain why the horizontal motion of ball B does not affect its time of fall. [3]
3. Describe one experimental observation that would show the model is failing because of air resistance. [2]