Answer to Question #342826 in Mechanics | Relativity for Louis

Question

Two electric train A and B leave the same station on parallel rail line train A start at rest with a uniform acceleration of 0.2m/s2 and attain a speed of 45km/h and maintain this speed at constant rate after ward . the train B leave the station 1 minute after train A has left and move with uniform acceleration of 0.4m/s2 to attain a maximum speed of 72 km/h. If train B maintain the speed of 72km/h determine the time it will over take train A

Answer 1

$s_1=s_2,$

$v_1t+\frac{a_1t^2}2=v_2(t-1)+\frac{a_2(t-1)^2}2,$

$t=24~s.$