a object is projected from ground reaches a point x in its point in its path after 3 seconds and from there it reaches the ground after further 6 seconds the vertical distance of tge point x from the ground is
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Time of ascent = Time of descent
Therefore the body to reach maximum height will take 2.5 s.Let the maximum height be h and velocity there be v=0.
Using v=u+gt
0=u−9.8×2.5
u=24.5 m/s
Now using work energy theorem u
2
=2gh
h=
2×9.8
24.5×24.5
=30.625 m
Here h is the maximum height reached in 2.5 s,that means point A is in the descending path and will be taking more 1.5 s from the maximum height h. Consider x be the distance of point A from h.Hence height of point A above the ground will be given by,
h−x=
2
1
gt
2
30.625−x=0.5×9.8×1.5×1.5
x=19.6 m
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