Question

Using following data, draw time-displacement graph for a moving object.

Time (s)	0	2	4	6	8	10	12	14	16
Displacement (m)	0	2	4	4	4	6	4	2	0

Use the graph to find average velocity for first 4 s, for next 4 s and for last 6 s?

Answer 1

$\text{Step 1: Displacement Vs time graph [Refer Fig.]}$

$\text{Step 2: Average Velocity Calculation}$

We know that the slope of the displacement time graph gives us the velocity.

For first four seconds

$<V_1>=\frac{x_2-x_1}{t_2-t_1}=\frac{4-0}{4-0}m/s$

$<V_1>=1m/s$

For next $4$ seconds

$<V_2>=\frac{x_3-x_2}{t_3-t_2}=\frac{4-4}{8-4}m/s$

$<V_2>=0m/s$

For last $6$ seconds

$<V_3>=\frac{x_5-x_4}{t_5-t_4}=\frac{0-6}{16-10}m/s$

$<V_3>=-1m/s$