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Question

A ball is projected vertically upwards with a velocity of 40 m/s from the top of a cliff 100 m high .Find the total time taken the ground.

A
4 sec
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B
8 sec
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C
15.8 sec
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D
12 sec
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Solution

The correct option is C 15.8 sec

Here height of cliff is =100m

The distance travelled by stone =100+X-X

V=40m/s

S=ut +1÷2At2

100=0×t+1÷2at2.........(1)

V2= u2+2as

40 =2a100

2a=40÷100

a=0.4÷2

=0.2

100=2×0.2×t2

100=0.4×t2

t2=100÷0.4

t=15.8


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