A ball is projected vertically upwards. Air resistance and variation in g may be neglected. The ball rises to its maximum height H in a time T, the height being h after a time t :
(1) The graph of kinetic energy `E_(k)` of the ball against height h is shown in figure 1
(2) The graph of height h against time t is shown in figure 2
(3) The graph of gravitational energy `E_(k)` of the ball against height h is shown in figure 3
(1)
Two particles move on a circular path ( one just inside and the other just outside) with angular velocities ro and `5 omega` starting from the same point. Then :
A. they cross each other at regular intervals of time `(2 pi)/(4 omega)` when their angular velocities are oppositely directed
B. they cross each other at points on the path subtending an angle of `60^(@)` at the centre if their angular velocities are oppositely directed
C. they cross at intervals of time `(pi)/(3 omega)` if their angular velocities are oppositely directed
D. they cross each other .at points on the path subtending `90^(@)` at the centre if their angular velocities are in the same sense