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2.Motion in Straight Line
medium
A body starts from rest and travels a distance $S$ with uniform acceleration, then moves uniformly a distance $2S$ and finally comes to rest after moving further $3S$ under uniform retardation. The ratio of the average velocity to maximum velocity is
A
$0.4$
B
$0.6$
C
$0.57$
D
$0.71$
Solution
$v_{avg}=\frac{6 s}{t_{1}+t_{2}+t_{1}}$
$v_{avg}=\frac{6 s}{\frac{2 s}{v}+\frac{2 s}{v}+\frac{6 s}{v}}$
$v_{avg}=\frac{6 s \times v}{10 s} \Rightarrow \frac{v_{avg}}{v}=\frac{3}{5}$
Standard 11
Physics
