a ball is dropped from a cliff it's speed after 4 seconds after it is dropped find.
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A ball is dropped from a cliff. Find
(a) its speed 2s after it is dropped,
(b) its speed when it has fallen through 78.4m , and
(c) the time taken in falling through 78.4m
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Solution
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Velocity after two seconds
v=u+gt
v=0+9.8×2
v=19.6m/s
Velocity when a ball has fallen through 78.4m is given by
v
2
−u
2
=2gh
v
2
−0=2×9.8×78.4
v
2
=1536.64
v=39.2m/s
Let time taken in falling through 78.4m be ts.
h=ut+
2
1
gt
2
78.4=0×t+
2
1
×9.8×t
2
t
2
=
4.9
78.4
t
2
=16
t=4s
Thus time taken in falling through 78.4m is 4s.
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