6. Exercises
From Mechanics
| Theory | Exercises |
Exercise 6.1
The graph shows how the velocity of a van changes during a short journey. Find the distance travelled by the van.
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Exercise 6.2
The graph below shows how the velocity of a train changes as it travels along a straight railway line.
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.
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 6.4
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.
Exercise 6.5
A cyclist accelerates at 0.5 \displaystyle \text{m}{{\text{s}}^{-2}} from rest for 10 seconds, as she travels along a straight line.
a) Find the distance travelled by the cyclist during the 10 seconds and the speed that she reaches at the end of this period of time.
b) After the 10 seconds her acceleration changes to 0.2 \displaystyle \text{m}{{\text{s}}^{-2}} and then remains constant for a further 5 seconds. Find the speed of the cyclist and the total distance that she has travelled at the end of the 15 seconds.
