A ball thrown up vertically returns to the thrower
after 6 s. Find :
(a) the velocity with which it was thrown up,
(b) the maximum height it reaches, and
(c) its position after 4 s.
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Explanation:
For upward motion,
v=u+at
∴ 0=u+(−10)×3
⟹u=30 m/s
(b). The maximum height reached by the ball
h=ut+½at²
h=30+ ½(-10)×3²
h=45 m
(c). After 3 second, it starts to fall down.
Let the distance by which it fall in 1 s be d
d= ut+½t². t'=1s. ut=0
=5 m
∴ Its height above the ground, h
′
=45−5=40 m
Hence after 4 s, the ball is at a height of 40 m above the ground.
hope it helps ☺️
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