A train goes from rest to rest between two stations with uniform acceleration and retardation. Find the rato of maximum velocity of the average velocity.

Explanation

Velocity time graph of train between two stations shown area under the curve `=(1)/(2)(t_(1)+t_(2))v_("max")="displacement"`
`(v_("max"))/(v_("average"))=(v_("max"))/((("Displacement")/("Total time")))=(v_("max"))/((1)/(2)((t_(1)+t_(2))v_("max"))/((t_(1)+t_(2))))=2`