gives B1 M1A1 5) A girl throws a stone which breaks a window 2 seconds later. The speed of projection is 20 ms-1 and the angle of projection is 60. Assuming that the stone can be modelled as a particle moving with constant acceleration, find the horizontal and vertical components of the velocity of the stone just before impact [4] Horizontally B1 Vertically B1 Using gives M1A1 Amber 6) Figure 1 Figure 1 shows the speed-time graph of a cyclist moving on a straight road over a 7 s period. The sections of the graph from = 0 to = 3, and from = 3 to = 7, are straight t t t t lines. The section from = 3 to = 7 is parallel to the t t t-axis. State what can be deduced about the motion of the cyclist from the fact that: a) the graph from = 0 to = 3 is a straight line, [1] t t b) the graph from = 3 to = 7 is parallel to the [1] t t t-axis. c) Find the distance travelled by the cyclist during this 7 s period. [4] a) Constant acceleration B1 b) Constant speed/velocity B1 c) Distance = ½ (2 + 5) x 3, + (4 x 5) M1 A1 B1 = 30.5 m A1 7) A car is moving along a straight horizontal road. At time = 0, the car passes a t point with speed 25 m s–1. The car moves with constant speed 25 m s–1 until = A t 10 s. The car then decelerates uniformly for 8 s. At time = 18 s, the speed of the t car is m s–1 and this speed is maintained until the car reaches the point at time V B = 30 s. t a) Sketch a speed–time graph to show the motion of the car from to [3] A B Given that = 526 m, find AB b) the value of [5] V, c) the deceleration of the car between = 10 s and = 18 s. [3] t t
gives B1 M1A1 5) A girl throws a stone which breaks a window 2 seconds later. The speed of projection is 20 ms-1 and the angle of projection is 60. Assuming that the stone can be modelled as a particle moving with constant acceleration, find the horizontal and vertical components of the velocity of the stone just before impact [4] Horizontally Vertically Using gives B1 B1 M1A1 Amber 6) Figure 1 Figure 1 shows the speed-time graph of a cyclist moving on a straight road over a 7 s period. The sections of the graph from t = 0 to t = 3, and from t = 3 to t = 7, are straight lines. The section from t = 3 to t = 7 is parallel to the t-axis. State what can be deduced about the motion of the cyclist from the fact that: a) the graph from t = 0 to t = 3 is a straight line, [1] b) the graph from t = 3 to t = 7 is parallel to the t-axis. [1] c) Find the distance travelled by the cyclist during this 7 s period. [4] a) Constant acceleration B1 b) Constant speed/velocity B1 c) Distance = ½ (2 + 5) x 3, + (4 x 5) = 30.5 m M1 A1 B1 A1 7) A car is moving along a straight horizontal road. At time t = 0, the car passes a point A with speed 25 m s–1. The car moves with constant speed 25 m s–1 until t = 10 s. The car then decelerates uniformly for 8 s. At time t = 18 s, the speed of the car is V m s–1 and this speed is maintained until the car reaches the point B at time t = 30 s. a) Sketch a speed–time graph to show the motion of the car from A to B [3] Given that AB = 526 m, find b) the value of V, [5] c) the deceleration of the car between t = 10 s and t = 18 s. [3]