A body is thrown vertically upward from the top a of a tower it reaches the ground in t1 sec. If it is thrown vertically downward from point a with the same speed it reaches ground in t2 sec. If it is allowed to fall freely from a then what is the time taken to reach the ground
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Answer:under root t1t2
Explanation:
For upward motion ,
H=1/2gt1'2 {u=0} eq 1
For downward motion of ball
H=1/2gt2'2 eq2
For free fall of the ball
H=1/2gt'2 eq 3
Now,
Multiply t2 in eq 1 and t1 in eq 2
And add them ,
We get ,
h=1/2gt1t2, eq 4
Putting the value of h in eq 3,
1/2gt1t2=1/2gt'2
T=under root t1t2
Hope this will help you .
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