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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

A particle is projected at an angle of 60 ° to the horizontal with...

A particle is projected at an angle of 60°60 ° to the horizontal with a speed of 10ms−110ms^{- 1}. After some time the direction of its velocity makes an angle of 30°30 °& to the horizontal. The speed of the particle at this instant is

Options

  1. A53ms−1\dfrac{5}{3}ms^{- 1}
  2. B53ms−15\sqrt{3}ms^{- 1}
  3. C5ms−15ms^{- 1}
  4. D103ms−1\dfrac{10}{3}ms^{- 1}

Correct answer

D. 103ms−1\dfrac{10}{3}ms^{- 1}

Step-by-step solution

Let vv be the velocity of the projectile at this instant.

The horizontal component of velocity remains unchanged.

Therefore,

vcos30°=10cos⁡60°vcos30 ° = 10\cos 60 °

v32=102v\dfrac{3}{2} = \dfrac{10}{2}

∴v=103ms−1∴ v = \dfrac{10}{3}ms^{- 1}
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