A particle moves in a straight line. Its acceleration at time t seconds is (6t - 4) m s-2. When t = 0 its velocity is 2 m s-1 and it is at the origin.
Find its velocity and displacement when t = 3.
From Paper 3: Pure Mathematics and Mechanics
1115 marks
A ball is thrown from a point 1.5 m above horizontal ground with speed 18 m s-1 at an angle of 35° above the horizontal. A wall 3 m high stands 20 m horizontally from the point of projection.
(a) Show that the ball passes over the wall and find by how much it clears it.
(b) Find the greatest height of the ball above the ground.
(c) Find the horizontal distance from the point of projection to where the ball lands.
(d) Find the speed and direction of the ball just before it lands.
Score 0 / 21 · 0 of 2 marked
This paper is written by Plasmo in the style of the OCR A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.