A projectile A is projected from ground. An observer B running on ground with uniform velocity of magnitude 'v' obseryes A to move along a straight line. The time of flight of A as measured by B is T. Then the range R of projectile on ground is

Question

Infinity Learn · Accepted Answer

The horizontal and vertical components of initial velocity of projectile are as shown in figure. Since the observer moving with uniform velocity v sees the projectile moving in straight lineHence v $$=$$ u $$cos$$θThe time of flight as measured by observer B T $$=$$ $$2u$$ $$sin$$ θgHence horizontal range of projectile on groundR $$=$$ $$(u$$ $$cos$$ θ$$)T$$ $$=$$ vT

A projectile A is projected from ground. An observer B running on ground with uniform velocity of magnitude 'v' obseryes A to move along a straight line. The time of flight of A as measured by B is T. Then the range R of projectile on ground is

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