A point is moving with a velocity of 10 meters per second, and at a subsequent instant, it is moving at the same rate in a direction inclined at 30° to the former direction, find the change of velocity?

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  1. 1.232 m/s
  2. 3.288 m/s
  3. 5.176 m/s
  4. 7.128 m/s

Answer (Detailed Solution Below)

Option 3 : 5.176 m/s
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Detailed Solution

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Concept:

Let the initial angle of inclination is θ so the initial velocity vector will be,

This can also be written in the coordinate form as,

Calculation:

Given: v = 10 m/s

  • At a subsequent instant, it is moving at the same rate in a direction inclined at 30° to the former direction.

So, the final angle of inclination will be (θ -30°)  so the final velocity vector will be,

So, change in the velocity,

Using trigonometric formulas,

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