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Uniform and Non-Uniform Motion

The distance ...

Question

The distance travelled by 5 identical particles is given below in the options A, B, C, D and E respectively at specific time interval. Which object is moving with a constant velocity?

A

1 m, 4 m, 9 m, 16 m, 25 m

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B

2 m, 2 m, 4 m 4 m, 6 m

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C

2 m, 4 m, 6 m, 8 m, 10 m

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D

6 m, 11 m, 15 m, 18 m, 20 m

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E

4 m, 9 m, 15 m, 22 m, 29 m

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Solution

The correct option is C $2 m, 4 m, 6 m, 8 m, 10 m$
If the particle moves with constant velocity,
Velocity $v = \frac{Δ x}{Δ t} = c o n s t a n t$
$⟹ Δ x = c o n s t a n t \times Δ t$
Thus for equal time intervals, the distance traveled must be equal.
The distance traveled by object in option C remains the same for each interval and is equal to $Δ x = 4 m - 2 m = 2 m$
Hence correct answer is option C.

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