A particle's velocity is v = 3t2 - 2t m s⁻¹. What is its acceleration when t = 2?
From Paper 2: Pure and Mechanics
124 marks
A car travelling at 25 m s-1 brakes with constant deceleration and stops in a distance of 80 m.
Find the deceleration and the time taken to stop.
From Paper 2: Pure and Mechanics
1610 marks
A ball is projected from the top of a vertical cliff 20 m above the sea, with speed 15 m s-1 at 40° above the horizontal.
(a) Find the time taken for the ball to reach the sea.
(b) Find the horizontal distance from the foot of the cliff to where the ball lands.
(c) Find the speed of the ball as it hits the sea.
(d) State one modelling assumption you have made.
From Paper 2: Pure and Mechanics
1712 marks
A particle P of mass 0.5 kg moves in a horizontal plane. At time t seconds its velocity is
v = (3t2 - 4) i + 2t j m s⁻¹.
When t = 0, P is at the point with position vector 2 i - j m.
(a) Find the magnitude of the acceleration of P when t = 2.
(b) Find the position vector of P when t = 2.
(c) Find the time at which P is moving parallel to j.
(d) Find the magnitude of the resultant force on P when t = 1.
Score 0 / 27 · 0 of 4 marked
This paper is written by Plasmo in the style of the AQA A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.