A car starts from rest and accelerates uniformly to 20 m s-1 in 10 s. It travels at this speed for T seconds, then decelerates uniformly to rest in 8 s. Figure 1 shows the velocity–time graph. The total distance travelled is 1180 m.
(a) Find the value of T.
(b) Find the deceleration of the car.
Figure 1: velocity–time graph (not to scale)
From Paper 3: Statistics and Mechanics
1115 marks
A particle P is projected from a point O on horizontal ground with velocity (12 i + 16 j) m s-1, where i and j are horizontal and vertically upward unit vectors.
(a) Find the speed of projection and the angle of projection above the horizontal.
(b) Find the time of flight and the horizontal range.
(c) Find the length of time for which P is at least 10 m above the ground.
(d) Find the direction of motion of P when t = 2.
(e) State one limitation of the model.
Score 0 / 21 · 0 of 2 marked
This paper is written by Plasmo in the style of the Edexcel A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.