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Question

A body starts from rest and with a uniform acceleration of 10ms2 for 5 seconds. During the next 10 seconds it moves with uniform velocity. The total distance travelled by the body is :-

A
100m
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B
125m
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C
500m
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D
625m
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Solution

The correct option is B 625m
The initial velocity travelled is 625m
The accleration is α=10m/s2
The time is t=5s
Apply the equation of motion
v=u+at
The velocity is v=0+10.5=50m/s.
The distance travelled in the first 5s is
s=ut+12at2=0.5+12.10.52=125mThedistancetravelledinthefollowing10siss1=ut1=50.10=500mThetotaldistancetravelledisd=s+s1=125+500=625m

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