Question

A bus starts from rest and moves with a uniform acceleration a.Simultaneously a passenger at a distance X from the bus starts running to catch the bus.The minimum velocity of the passenger to catch the bus is

Answer 1

S1=s2
1/2*a*t2= d+v*t
V = (1/2*a*t2 - d) /t = 1/2*a*t - d/t
For minimum differentiate
1/2a +d/t^2=0