Objects thrown up or dropped, g = 9.8, greatest height, time of flight, speed on hitting the ground.
12 original questions, 68 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
A stone is dropped from rest from a bridge 20 m above a river. The stone is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A ball is thrown vertically upwards from ground level with speed 14.7 m s−1. The ball is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A ball is projected vertically upwards with speed 21 m s−1 from a point P. The ball is modelled as a particle moving freely under gravity.
For the instant 3 s after projection,
Take g = 9.8 m s−2.
A stone is thrown vertically downwards with speed 5 m s−1 from the top of a cliff. It hits the sea 3 s later. The stone is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A small ball is projected vertically upwards from a point A. The greatest height of the ball above A is 8.1 m. The ball is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A ball is projected vertically upwards from ground level with speed 19.6 m s−1. The ball is modelled as a particle moving freely under gravity.
Find the length of time for which the ball is at least 14.7 m above the ground.
Take g = 9.8 m s−2.
A girl throws a ball vertically upwards with speed 12 m s−1. The ball leaves her hand 2 m above the ground. The ball is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A stone is released from rest at the top of a well and falls freely to the water at the bottom. In the last second of its fall the stone travels 24.5 m.
Take g = 9.8 m s−2.
A small stone is projected vertically upwards with speed 14 m s−1 from the top of a tower. The top of the tower is 40 m above horizontal ground. The stone falls past the tower and lands on the ground. The stone is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
A ball is dropped from rest from a height of 2.5 m above a horizontal floor. It hits the floor and rebounds vertically upwards with half the speed it had just before impact. The ball is modelled as a particle moving freely under gravity, and the time in contact with the floor is ignored.
Take g = 9.8 m s−2.
A ball A is dropped from rest from a window 30 m above the ground. At the same instant a second ball B is projected vertically upwards from the ground directly below the window with speed 15 m s−1. The balls move in the same vertical line and are modelled as particles moving freely under gravity.
Take g = 9.8 m s−2.
A cricket ball is hit vertically upwards from a point 1.5 m above the ground. It hits the ground 3.2 s later. The ball is modelled as a particle moving freely under gravity.
Take g = 9.8 m s−2.
Every question here is original and written by Robinson Tuition. It follows the Edexcel AS specification and suits AQA and OCR AS maths too; this is not an exam-board paper.