A train is moving with a constant speed of `10m//s` in a circle of radius `16/pi`m. The plane of the circle lies in horizontal x-y plane. At time t = 0, train is at point P and moving in counter- clockwise direction. At this instant, a stone is thrown from the train with speed `10m//s` relative to train towards negative x-axis at an angle of `37^@` with vertical z-axis . Find
(a) the velocity of particle relative to train at the highest point of its
trajectory.
(b) the co-ordinates of points on the ground where it finally falls and that of the hightest point of its trajectory. (Take g `= 10 m//s^2, sin 37^@ = 3/5`