Question

10. The position-time (x-t) graph for a particle moving
along x-axis is as shown. Average speed of the
particle between t = 0 to t = 8 s is

(1) Zero
(3) 3.75 m/s
(2) 8 m/s
(4) 4.25 m/s​

Answer 1

Answer:

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

$v_{avg}=\dfrac{D}{T}$

Where, D = total distance

T = total time

$v_{avg}=\dfrac{30}{8}$

$v_{avg}=3.75\ m/s$

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