1. © Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Projectile problems

2. Where should the players be to catch the ball? How long will the ball be in the air for? The projectile model allows you to answer these questions and many similar ones.

3. What is the greatest height the ball will reach? Projectile problems 45 ms –1 20⁰ Where will the ball be 2 seconds later? When will the ball reach a height of 10 metres? How long will the ball be in the air? How far will it travel horizontally before it hits the ground? The ball is hit towards a 12 metre tree which is 80 metres from the golfer. Will the ball pass over the tree or hit it? Think about: How would you solve these:

4. Think about: How would you work out when and where the ball will hit the ground? 88 15 ms –1 1.2 m Projectile problems

5. Reflect on your work How does separating the vertical and horizontal motion help you to solve the problems? What affects the time of flight of a projectile? What modelling assumptions have you made?