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Q.

When a projectile is projected at a certain angle with the horizontal, its horizontal range is and time of flight is T1. When the same projectile is thrown with the same speed at some other angle with the horizontal, its horizontal range is and time of flight is T2. The product of T1  and  T2 is:

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a

Rg

b

2Rg

c

4Rg

d

3Rg

answer is B.

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Detailed Solution

The two angles of projection are clearly θ  and  (900θ)

T1=2vsinθg

  and    T2=2vsin(900θ)g

   T1T2=2(v)2(2sinθcosθ)g×g=2Rg

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