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A ball is thrown vetically upwards at ti...

A ball is thrown vetically upwards at time `t=0`. Air resistance is not negligible and the acceleration of free fall is `g`. The ball reaches a maximum height at time `t=T` and then descends, reaching terminal speed. Which graph best shows the variation with time `t` to the acceleration a of the ball

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C


As the ball ascends upwards in addiction to weight air friction also acts downwards. Hence the initial magnitude of acceleration will be greater than magnitude of acceleration due to gravity. So the only possible option is
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Knowledge Check

  • 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) -Which the figure shows the correct answers ?

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  • 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) (2) In the above situation the block wili have maximum velocity when:

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  • 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 :

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    they cross each other at regular intervals of time `(2 pi)/(4 omega)` when their angular velocities are oppositely directed
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    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
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