Kinematics Question 628

Question: A projectile of mass m is thrown with a velocity v making an angle $ 60{}^\circ $ with the horizontal. Neglecting air resistance, the change in velocity from the departure A to it’s arrival at B, along the vertical direction is

Options:

A) 2v

B)$ \sqrt{3}\text{v} $

C) v

D)$ \frac{\text{v}}{\sqrt{3}} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] At points A and B the vertical component of velocity is $ v\sin 60{}^\circ $ but their directions are opposite.

Hence, change in velocity. $ \Delta v=v\sin 60{}^\circ -( -v\sin 60{}^\circ)=2v\sin 60{}^\circ =\sqrt{3}v $



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