6. Exercises

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Exercise 6.1

The graph shows how the velocity of a van changes during a short journey. Find the distance travelled by the van.

Image:E6.1.GIF


Exercise 6.2

The graph below shows how the velocity of a train changes as it travels along a straight railway line.


Image:E6.2.GIF

a) Find the total distance travelled by the train in the 180 seconds..

b) Find the acceleration of the train on the first stage of the motion.



Exercise 6.3

The diagram shows a velocity-time graph for a lift.

Image:E6.3.GIF

a) Find the total distance travelled by the lift.

b) Calculate the acceleration of the lift during the last 2 seconds.

c) At what times is the speed of the lift 1 \displaystyle \text{m}{{\text{s}}^{-1}}?


Exercise 6.2


As a train travels 500 m its speed increases from 5 \displaystyle \text{m}{{\text{s}}^{-1}} to 15 \displaystyle \text{m}{{\text{s}}^{-1}}. Assume that its acceleration is constant.

a) Find the acceleration of the train.

b) Find the time it takes the train to travel this distance.