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Question

A body moves from rest with a uniform acceleration and travels 270 m in 3 s.Find the velocity of the body at 10 s after the start.

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Solution

Here the main thing is uniform acceleration which means that "a" would be constant such that acceleration after 3s would be equal to acceleration after 10 s so from 1st case we will find the acceleration from 2nd equation of motion.
i.estraight s equals ut plus 1 half at squared from this equation we will find
1 half a t squared equals s minus u t
a equals fraction numerator 2 open parentheses s minus u t close parentheses over denominator t squared end fraction
here initial speed u=0 so ut = 0
a equals fraction numerator 2 cross times 270 over denominator 3 cross times 3 end fraction
a = 60 bevelled m over s squared- (1)
Now we know that v= u+at
from eqn 1 a= 60 bevelled m over s squared
so here v= 0+ 60cross times10
v=600m/s


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