a ball is thrown vertically upward with a velocity u from the balloon descendingg with velocity v the ball will passes by the balloon after time t equal to
Answer (1)
22nd Aug, 2020
Hello,
The velocity of ball is u m/s
The velocity of descending balloon is v m/s
Therefore, the velocity of ball w.r.t. balloon is u + v m/s
Now, the ball will pass the balloon when the relative displacement between the two is zero.
Now, displacement is given by, s = u't + 1/2 * a * t^2
= s = (u + v)*t - 1/2 * g * t^2 = 0 [ a = (-g) = acceleration due to gravity and u' = u + v]
Taking t common, we have:
t * [ (u + v) - 1/2 * g * t ] = 0 which gives t = 0 or [ (u + v) - 1/2 * g * t ] = 0
Since t cannot be equal to 0, therefore, we have: [ (u + v) - 1/2 * g * t ] = 0
Rearranging and solving the above equation, we get:
t = 2 * ( u + v ) / g (Answer)
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