A projectile takes off with an initial velocity of 50 m / s at an angle of 3 7 ∘ with horizontal. It is just able to clear two hurdles of height 25 m each, separated from each other by a distance d .

Question

A projectile takes off with an initial velocity of 50 m / s at an angle of 3 7 ∘ with horizontal. It is just able to clear two hurdles of height 25 m each, separated from each other by a distance d . Calculate d .

TestHub · Accepted Answer

y = u t sin θ − 2 1 ​ g t 2 30 t − 5 t 2 = 25 5 t 2 − 30 t + 25 = 0 ( t − 1 ) ( t − 5 ) = 0 t 1 ​ = 1 second and t 2 ​ = 5 seconds. d = u cos θ ( t 2 ​ − t 1 ​ ) d = 40 ( 5 − 1 ) d = 40 × 4 d = 160 m

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