A player throws a ball upwards with an initial speed of 294 ms _1 . To what height does the ball rise and after how long does the ball return to the player’s hands? (Take g=98 m s _2 and neglect air resistance)
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Answer:
Initial velocity of the ball, u = 29.4 m/s
Final velocity of the ball, v = 0 (At maximum height, the velocity of the ball becomes zero)
Acceleration, a =g=9.8m/s
2
From third equation of motion, height (s) can be calculated as:
v
2
−u
2
=2gs
s=(v
2 −u
2 )/2g= ((0)
2 −(29.4)
2 )/2(−9.8)=3s
Time of ascent = Time of descent
Hence, the total time taken by the ball to return to the players hands = 3+3=6 s.
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