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A body falls freely form rest. It covers...

A body falls freely form rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of

A

6 sec

B

5 sec

C

4 sec

D

3 sec

Text Solution

Verified by Experts

The correct Answer is:
B
The distance travelled in last second.
`S_(last)=u+(g)/(2)(2t-1)=(1)/(2)xx10(2t-1)=5(2t-1)`
and distance traveled in first three second,
`S_(three)=0+(1)/(2)xx10xx9=45`m
According to problem `S_(last)=S_(three)`
`implies5(2t-1)=45implies2t-1=9impliest=5` sec
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