A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction
of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of
projection, when it strikes the ground

Question

Arun · Answer

The initial velocity (in horizontal direction) will be having two components. One is in the direction of train and the other one is perpendicular to it. Therefore the resultant horizontal initial velocity of the ball is, Ux=(30 cos 45)2+302−−−−−−−−−−−−−−−√=450+900−−−−−−−−√=1350−−−−√ ms/ Therefore, the range of the ball (distance from the point of projection) is, time taken by the body to reach the ground is,T=2u sin θg=2×30×sin 4510=32√ sSo, range is,R=Ux×T=1350−−−−√×32√=32700−−−−√=903√ m⇒R=155.88 m

suresh kumar · Answer

with the horizontal, and the train is also moving at a speed of 30m/s, hence the total horizontal components of velocities of the ball = 30cosθ + 30 = 30cos45 + 30 0 since the ball is projected at an angle of 45 Ux=(30 cos 45)+30 the Time of flight will be 2*30 sin45/10 (taking g = 10m/s2) = 3√2 Range = U X times Time of flight = (30cos45 +30) * 3√2 = 90(√2+1 )m

Vikas TU · Answer

Please refer https://www.askiitians.com/forums/Mechanics/a-train-is-moving-on-a-track-at-30m-s-a-ball-is-th_215181.htm

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A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of projection, when it strikes the ground

A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction
of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of
projection, when it strikes the ground

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A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of projection, when it strikes the ground

A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of projection, when it strikes the ground

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A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction
of motion at 30 m/s at 45° from horizontal. Find the distance of ball from the point of
projection, when it strikes the ground