a wicketkeeper gloves dropped from a hieght of 4o metres and simultaneously a ball is thrown upward from a ground with a speed of 40 metres so when and where do they meet
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Answer:
Height = 40 m
Speed = 40 m / s
To find:
The time and the height that they meet.
Solution:
By laws of motion,
Gloves downward motion,
Height = Initial velocity * Time + 1 / 2 * Gravity * Time^2
Initial velocity = 0
Hence,
Height = 1 / 2 * Gravity * Time^2
Gravity = 9.8 m / s
Height = 4.9 Time^2
Ball upward motion,
Initial velocity = 40
Hence,
40 - Height = 40 * 1 / 2 * 9.8 * Time^2
Solving for Time,
Time = 1 s
Then,
We get,
Height = 4.9 m
The meeting height = 40 - 4.9
The meeting height = 35.1 m
Hence, The glove will meet the ball at 35.1 m above the ground after 1 s.
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