Questions

A projectile can have same range R for two angles of projection. It t_{1} and t_{2} are the times of flight in the two cases, then what is the product of two times of flight?

60 mins Expert Faculty Ask Questions

a

t1t2∝R2

b

t1t2∝R

c

t1t2∝1R

d

t1t2∝1R2

detailed solution

Correct option is B

The horizontal range is the same for the angles of projection 90∘−θt1=2usinθg,t2=2usin90∘−θg=2ucosθg t1t2=2usinθg×2ucosθg=2gu2sin2θg=2gR where R=u2sin2θ Hence, t1t2∝R (as R isconstant)

Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.

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