An elevator without a ceiling is ascending up with an acceleration of $$5$$ $$ms-2$$ A boy on the elevator shoots a ball in vertical upward direction from a height of $$2$$ m above the floor of elevator. At this instant the elevator is moving up with a velocity of $$10$$ $$ms-1$$ and floor of the elevator is at a height of $$50$$ mfrom the ground. The initial speed of the ball is $$15$$ $$ms-1$$ with respect to the elevator. Consider the duration for which the ball strikes the floor of elevator in answering following questions. $$g=10ms-2The$$ time in which the ball strikes the floor of elevator is given byThe maximum height reached by ball, as measured from the ground would beDisplacement of ball with respect to ground during its flight would beThe maximum separation between the floor of elevator and the ball during its flight would be

Question

An elevator without a ceiling is ascending up with an acceleration of $$5$$ $$ms-2$$ A boy on the elevator shoots a ball in vertical upward direction from a height of $$2$$ m above the floor of elevator. At this instant the elevator is moving up with a velocity of $$10$$ $$ms-1$$ and floor of the elevator is at a height of $$50$$ mfrom the ground. The initial speed of the ball is $$15$$ $$ms-1$$ with respect to the elevator. Consider the duration for which the ball strikes the floor of elevator in answering following questions. $$g=10ms-2The$$ time in which the ball strikes the floor of elevator is given byThe maximum height reached by ball, as measured from the ground would beDisplacement of ball with respect to ground during its flight would beThe maximum separation between the floor of elevator and the ball during its flight would be

Infinity Learn · Accepted Answer

Velocity of ball with respect to elevator is $$15$$ $$m/s$$ (up) and elevator has a velocity of $$10$$ $$m/s$$ (up). Therefore, absolute velocity of ball is $$25$$ $$m/s$$ (upwards). Ball strikes the floor of elevator if,$$S1=S2+2$$ ∴  $$10t+2.5t2=25t-5t2+2Solving$$ this equation we get,$$t=2.13$$ sIf the ball does not collide, then it will reach its maximum height in time,$$t0=ug=2510=2.5$$ sSince, t

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