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 (i

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 (in m ). Calculate d .

TestHub · Accepted Answer

v y 2 ​ = u y 2 ​ + 2 a y ​ y = 3 0 2 + 2 ( − 10 ) ( 25 ) = 900 − 500 = 400 ⇒ u y ​ = 20 m / s Time from A to B = g 2 v y ​ ​ = 10 2 ( 20 ) ​ = 4 s ⇒ d = 40 × 4 = 160 m

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