Plot a distance-time graph for a moving particle if it covers a distance of 1 m in 2 second, 4 m in 4 seconds, 9 m in 6 seconds, 16 m in 8 seconds, 25 m in 10 seconds and 36 m in 12 seconds. Can we say the speed of the particle is constant?
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Answer:
Step 1: Displacement Vs time graph [Refer Fig.]
Explanation:
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
>=
t
2
−t
1
x
2
−x
1
=
4−0
4−0
m/s
<V
1
>=1m/s
For next 4 seconds
<V
2
>=
t
3
−t
2
x
3
−x
2
=
8−4
4−4
m/s
<V
2
>=0m/s
For last 6 seconds
<V
3
>=
t
5
−t
4
x
5
−x
4
=
16−10
0−6
m/s
<V
3
>=−1m/s
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