Question

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.

Answer 1

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`