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Q. No.A ball is thrown upward with an initial velocity \(v_0\) from the surface of the earth. The motion of the ball is affected by a drag force equal to \(myv^2\) (where \(m\) is mass of the ball, \(v\) is its instantaneous velocity and \(y\) is a constant). The time taken by the ball to rise to its zenith (maximum height) is:
1. \( \frac{1}{\sqrt{y g}} \tan ^{-1}\left(\sqrt{\frac{y}{g} v_0}\right) \)
2. \( \frac{1}{\sqrt{2 y g}} \tan ^{-1}\left(\sqrt{\frac{2 y}{g} v_0}\right) \)
3. \( \frac{1}{\sqrt{y g}} \sin ^{-1}\left(\sqrt{\frac{y}{g}} v_0\right) \)
4. \( \frac{1}{\sqrt{y g}}\ln\left(1+\sqrt{\frac{y}{g} v_0}\right)\)
Subtopic: Non Uniform Acceleration |
Level 4: Below 35%
JEE
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Two cars are travelling towards each other at speed of \(20\) ms-1 each. When the cars are 300 m apart, both the drivers apply brakes and the cars retard at the rate of \(2\) ms-2. The distance between them when they come to rest is :
1. \(200\) m
2. \(50\) m
3. \(100\) m
4. \(25\) m
1. \(200\) m
2. \(50\) m
3. \(100\) m
4. \(25\) m
Subtopic: Non Uniform Acceleration |
80%
Level 1: 80%+
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Q. No.
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