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Question

A body travels 200cm in the first two seconds with cosntant speed and 220cm in the next 4 seconds with constant deceleration. The speed of the body at the end of the 7th second is

A
22.5cm/s
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B
12.5cm/s
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C
57.5cm/s
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D
0cm/s
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Solution

The correct option is B 57.5cm/s
Let the initial velocity of the body be U.

In the first 2 seconds, 200=2UU=100 cm/s
In the next 4 seconds, 220=4U1216a=4U8a=4(100)8aa=22.5 cm/s2
Velocity of the body at the end of 7th second is V=Uat=100(22.5)(7)=57.5 cm/s

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