From the given displacement-time graph, answer the following questions:
(i) The kind of motion depicted in this graph is :
- uniform
- non-uniform
- retardation
- all of the above
(ii) The velocity between points A and C is:
- 20 ms-1
- 5 ms-1
- 10 ms-1
- 15 ms-1
(iii) The displacement at t = 3s is:
- 15 m/s2
- 12.5 m/s2
- 40 m
- 30 m
(i) uniform
Reason — As the graph shows the linear relationship between displacement and time i.e., the car travels an equal distance in equal intervals of time in a certain direction. Thus, it is moving with uniform motion.
(ii) 10 ms-1
Reason — As, velocity is the ratio of displacement and time, therefore,
Velocity = Slope of straight line AC
= 60-30\over 5-2
= 30\over 3
= 10 m s-1
(iii) 40 m
Reason — When we observe the graph, we notice that at t = 3 s, the displacement axis shows 40 m, hence, displacement at t = 3 s is 40 m