Question

37. The position-time (x-t) graph of a particle moving
along x-axis is shown. Average speed of the
particle in time interval t = 0 to t = 20 s is
1.0
2.1m/s
3.2m/s
4.4m/s​

Answer 1

The average speed of the particle is 3.75 m/s.
(3) is correct option.
Explanation:
According to graph,
The distance covered by the particle is 5 m in 0 to 2 sec, 5 m in 2 to 4 sec, 10 m in 4 to 6 sec and 10 m in 6 to 8 sec.
The total distance is 30 m
The total time is 8 sec
We need to calculate the average speed of the particle
Using formula of average speed

Where, D = total distance
T = total time


Hence, The average speed of the particle is 3.75 m/s.