Question

A man is travelling on a flat car which is moving up a plane inclined at cos e = 4/5 to the horizontal with a speed 5 m/s. He throws a ball towards a stationary hoop located perpendicular to the incline in such a way that the ball moves parallel to the slope of the incline while going through the centre of the hoop. The centre of the hoop is 4 m high from the man's hand calculate the time taken by the ball to reach the hoop in second.

Answer #1

The equation formed is projectile motion.Let the inclination angle of the ball with respect to incline plane is .Let the velocity of the ball with respect to car is u.Therefore the velocity of the ball perpendicular to the incline is usin and along the incline is ucos+5.

Therefore,time taken by ball to reach hoop is 1s.

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