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Q.

A particle has been projected with a speed of 20 ms-1 at an angle of 30o with the horizontal The time taken when the velocity vector becomes perpendicular to the initial velocity vector is 

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a

4 s

b

3 s

c

Not possible in this case

d

2 s

answer is D.

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Detailed Solution

u→=20cos⁡30i^+20sin⁡30j^Now,  v→=20cos⁡30i^+(20sin⁡30−gt)j^

Let v→ be perpendicular to u→ at time t, then 

Question Image

v→⋅u→=0⇒t=4s

Here time of flight, T = 2 s. So it is not possible at any instant. 

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