A body starting from the the rest moves along a straight line with constant acceleration. Which one of the following graphs represents the variation of speed(v) and distance(s)?

Options

A.
B.
C.
D.

Answer

C

Explanation

Using the equation of uniformly accelerated motion,
`v^(2)=u^(2)+2as`
As the body starts from rest, u=0
Thus `v^(2)=2as or v^(2) prop s or v prop sqrt(s)`
Hence, the graph between v and s is a rectangular hyperbola.