Teachings for Exercise 9 B Constant acceleration You

Teachings for Exercise 9 B

Constant acceleration You can also represent the motion of an object on a velocity-time graph The velocity does not change over time and is 0. The object is stationary. The velocity is the same over time – the object is moving at a constant velocity The velocity increases at a constant rate over time. The object is accelerating at a constant rate On a velocity-time graph, the gradient represents the acceleration 9 B

Constant acceleration You can also represent the motion of an object on a velocity-time graph Gradient of a velocity-time graph = Acceleration over that period Area under a velocity-time graph = distance travelled The diagram below shows a velocity-time graph for the motion of a cyclist moving along a straight road for 12 seconds. For the first 8 seconds, she moves at a constant speed of 6 ms -1. She then decelerates at a constant rate, stopping after a further 4 seconds. Find: a) The distance travelled by the cyclist b) The rate of deceleration of the cyclist v(ms-1) 6 8 6 0 12 8 12 t(s) Sub in the appropriate values for the trapezium above Calculate 9 B

Constant acceleration You can also represent the motion of an object on a velocity-time graph Gradient of a velocity-time graph = Acceleration over that period Area under a velocity-time graph = distance travelled The diagram below shows a velocity-time graph for the motion of a cyclist moving along a straight road for 12 seconds. For the first 8 seconds, she moves at a constant speed of 6 ms -1. She then decelerates at a constant rate, stopping after a further 4 seconds. Find: a) The distance travelled by the cyclist – 60 m b) The rate of deceleration of the cyclist v(ms-1) 6 -6 0 8 4 12 t(s) Sub in the appropriate values for the trapezium above Calculate 9 B

Constant acceleration You can also represent the motion of an object on a velocity-time graph Gradient of a velocity-time graph = Acceleration over that period A particle moves along a straight line. It accelerates uniformly from rest to a speed of 8 ms-1 in T seconds. The particle then travels at a constant speed for 5 T seconds. It then decelerates to rest uniformly over the next 40 seconds. a) Sketch a velocity-time graph for this motion b) Given that the particle travels 600 m, find the value of T v(ms-1) 5 T 8 Area under a velocity-time graph = distance travelled Sub in values 8 0 T 5 T 6 T + 40 40 t(s) Simplify fraction Divide by 8 Subtract 20 Divide by 5. 5 9 B