a ball is thrown with same speed 4m/s show that under free fall it with ball to the ground with same speed
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let the speed with what the ball was thrown up be u
here ,
u= initial velocity
v= 0 (as ball will stop after a height )
let it's maximum height reached be s
so by the third equation of motion
v²-u²=2as(here a= -g as it is thrown up)
=>v²-u²=-2gs
=>-u²=-2gs(v=0)
=>u²=2gs
=>u=√2gs..........(1)
now the after reaching the maximum height the ball will start falling down
so,
it's initial speed will be 0 =u'
let it's final velocity be V'
therefore by the third equation of motion
v'²-u'²=2gs
=>v'²-u'²=2gs(u=0)
=>v=√2gs..........(2)
subtracting equation 1 from 2
we get ,
v'-u=√2gs-√2gs
=>v'-u=0
=>v'=u
therefore we can see that v'=u
so it will fall with the same speed as it was thrown up
.
hope it helps
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