AQA M1 2010 January — Question 4

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2010
SessionJanuary
TopicSUVAT in 2D & Gravity

4 A ball is released from rest at a height of 15 metres above ground level.
  1. Find the speed of the ball when it hits the ground, assuming that no air resistance acts on the ball.
  2. In fact, air resistance does act on the ball. Assume that the air resistance force has a constant magnitude of 0.9 newtons. The ball has a mass of 0.5 kg .
    1. Draw a diagram to show the forces acting on the ball, including the magnitudes of the forces acting.
    2. Show that the acceleration of the ball is \(8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
    3. Find the speed at which the ball hits the ground.
    4. Explain why the assumption that the air resistance force is constant may not be valid.