a man throws a ball vertically upwards with a velocity of 20 m /s-2 . After what time will the ball come back to his hands
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Answers
Correct question:-
A man throws a ball vertically upwards with a velocity of 20m/s. After what time the ball will come back to his hands.
Given:-
→Initial velocity of the ball=20m/s
To find:-
→Time taken by the ball to come back to his hands
Solution:-
In this problem we will take g=10m/s²,to make our calculations easier.
For upward journey of the ball:-
•Acceleration due to gravity will be -10m/s²,as the ball is going against gravity
•Velocity of the ball at the highest point will be zero,thus v=0.
By using the 1st equation of motion,we get:-
=>v=u+gt
=>0=20+(-10)t
=>-20= -10t
=>t= -20/-10
=>t=2s
Here,we can see that the ball takes 2s to reach maximum height. So,the ball will take same time from max.height to return to the thrower as we know that:-
=>Time of ascent=Time of descent
Thus,total time taken by the ball to reach the hands of the thrower :-
=>(2+2)s
=>4s
Hence,the ball takes 4 seconds to come back to the hands of the man.