A man throws balls with same speed vertically upwards one after the other at an refular interval of 2 sec. What should be the speed of throw so that more than two balls are in the sky at any time
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HEY!!
✴For at least 3 balls to remain above the ground, the time of flight of the first ball must be more than or equal to 4 s.
✴Because in t = 4 s the third ball leaves the ground.
✴Now, for the first ball,
✔Initial velocity = u
✔Final velocity = -u
✔Acceleration = -g
✴So, -u = u – gt
▶ u = gt/2
▶u = 9.8 × 4/2
▶ u = 19.6 m/s
▶▶▶Thus, the ball must be thrown at speed more than or equal to 19.6 m/s.
✴For at least 3 balls to remain above the ground, the time of flight of the first ball must be more than or equal to 4 s.
✴Because in t = 4 s the third ball leaves the ground.
✴Now, for the first ball,
✔Initial velocity = u
✔Final velocity = -u
✔Acceleration = -g
✴So, -u = u – gt
▶ u = gt/2
▶u = 9.8 × 4/2
▶ u = 19.6 m/s
▶▶▶Thus, the ball must be thrown at speed more than or equal to 19.6 m/s.
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