1. The simple velocity–time graph below represents the motion of a robot. What distance does
it travel?
2. In a 100m sprint event a runner starts from rest and his speed is 10 m/s after 5.0 s. He
then completes the rest of the race at a constant speed of 10.0 m/s.
a.
b.
c.
d.
Calculate his average acceleration in the first 5.0 s
What is the distance covered in the first 5.0 s?
What is the time taken by the runner to run the 100 m race?
Is the acceleration uniform for the whole race? Explain your answer.
3. A taxi driver was taking his friends to a popular 20/20 cricket match. Table 1 shows the
vehicle's velocity for the first minute of the journey.
Table 1
Velocity, V/ms-1
Time, t / s
0.0
0.0
11.0
10.0
23.0
20.0
34.0
30.0
47.0
40.0
57.0
50.0
69.0
60.0
(a)
Plot on page 3 [printed below here], a graph of velocity (V) versus time (t).
(b)
From the graph, calculate the slope, p.
(c)
What quantity does the slope, p, represent?
(d)
For the next minute, the vehicle's velocity was constant, then for the final minute, the
vehicle decelerated uniformly to a stop on reaching the stadium.
(i)
Continue the velocity time graph on page 3, to show this information and use the
graph to determine the total distance travelled.
(ii)
Calculate the average velocity of the taxi for the complete journey.
(iii)
If the total mass of the loaded taxi was 1 500 kg, determine the momentum of the
vehicle when it is travelling at constant velocity.