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Question

A motorcycle has an initial velocity of 5 m/s. After 3 seconds, the velocity is 7 m/s. The displacement of the motorcycle in 3 seconds is:

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

18 m

Given, u = 5 m/s, v = 7 m/s, and t = 3 seconds.

Using the equation of motion: v = u + at

7 = 5 + a × 3

Solving for acceleration: a = (7 - 5) / 3 = 2 / 3 = 0.67 m/s²

Now, using the equation for displacement: s = ut + 1/2 at²

s = 5 × 3 + 1/2 × 0.67 × (3)² = 15 + 3 = 18 m.

The displacement is 18 meters.

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