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Question

# A ball is thrown vertically upwards which attains a maximum height of 20 m. Calculate the velocity with which the ball is thrown upwards? (Take g=9.8 m sâˆ’2)

A
29.79 m s1
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B
17.79 m s1
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C
19.79 m s1
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D
15.79 m s1
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Solution

## The correct option is C 19.79 m s−1Let initial velocity of ball be u Distance travelled, s=20 m Final velocity, v=0 m s−1 Acceleration due to gravity, g=9.8 ms−2 Acceleration of the ball, a=−9.8 ms−2 (∵ motion is in upwards direction) Using third equation of motion, v2 = u2 + 2as 0=u2+2×(−9.8)×20 u2=392 ⟹u=19.79 m s−1 Hence, the ball is thrown with velocity 19.79 m s−1

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