(a) A boy on a skateboard is sliding down on a smooth incline having inclination angle q. He throws a ball such that he catches it back after time T. With what velocity was the ball thrown by the boy relative to himself ? (b) Barrel of an anti aircraft gun is rotating in vertical plane (it is rotating up from the horizontal position towards vertical orientation in the plane of the fig). The length of the barrel is `L = sqrt(2) m` and barrel is rotating with angular velocity `omega = 2 rad//s`. At the instant angle `theta` is `45°` a shell is fired with a velocity `2 sqrt(2) m//s` with respect to the exit point of the barrel. The tank recoils with speed `4 m//s`. What is the launch speed of the shell as seen from the ground?

(a) A boy on a skateboard is sliding down on a smooth incline having i

1.	(a) A boy on a skateboard is sliding down on a smooth incline having inclination angle q. He throws a ball such that he catches it back after time T. With what velocity was the ball thrown by the boy relative to himself ? (b) Barrel of an anti aircraft gun is rotating in vertical plane (it is rotating up from the horizontal position towards vertical orientation in the plane of the fig). The length of the barrel is `L = sqrt(2) m` and barrel is rotating with angular velocity `omega = 2 rad//s`. At the instant angle `theta` is `45°` a shell is fired with a velocity `2 sqrt(2) m//s` with respect to the exit point of the barrel. The tank recoils with speed `4 m//s`. What is the launch speed of the shell as seen from the ground?
Answer» Correct Answer - (a) `(1)/(2)Tg cos theta` Perpendicualr to the incline (b) `4sqrt(2) ms^(-1)`

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