A perfectly inelastic ball is thrown vertically upwards with a speed of 40 m/s. Because acceleration due to gravity g = 10 m/s 2 always acts on the ball it reaches up to a certain maximum height then stops for a moment and comes down wards to hit ground. Generally we neglect the resistance force by air but many quantities in the motion of ball will be changed if air-resistance is not neglected. Knowing that air-resistance always opposes the motion ball answer the following –
(i) In the time interval in which ball descends the ratio of maximum velocity to average velocity of ball is [If air-resistance force is constant]
Text Solution
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Ans.
(i)
Sol. For downwards motion of ball
v max = at d and v av = 
(ii)
Sol. When ball is moving upwards then it has greater speed as compared to speed when it is moving
downward at same height due to air-resistance.
(iii)
Sol. H= 
= 80 m in absence of air resistance.
Therefore maximum height is less than 80 m in air-resistance.
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