AQA M1 2013 June — Question 6

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2013
SessionJune
TopicProjectiles

6 In a scene from an action movie, a car is driven off the edge of a cliff and lands on the deck of a boat in the sea, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{cb5001b1-1744-439f-aa35-8dd01bc90421-4_355_1406_427_324} To land on the boat, the car must move 20 metres horizontally from the cliff. The level of the deck of the boat is 8 metres below the top of the cliff. Assume that the car is a particle which is travelling horizontally when it leaves the top of the cliff and that the car is not affected by air resistance as it moves.
  1. Find the time that it takes for the car to reach the deck of the boat.
  2. Find the speed at which the car is travelling when it leaves the top of the cliff.
  3. Find the speed of the car when it hits the deck of the boat.