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Mechanics

two objects moving along the same straight line are leaving point A with an acceleration a,2a and velocity 2u,u respectively at time t=0 the distance moved by the object w.r.t point A when one object overtake the other is:

Profile image of siddhant khemka
13 Years agoGrade
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1 Answer

Profile image of adityanarayanan madhusudanan
13 Years ago

When one object will overtake the other, both of them will travel the same distance in the same time interval.

Distance travelled by the first body in a time interval ''t''(say) ,will be, by the scond kinematic equation,

d = 2ut+1/2at^2

Also, distance travelled by the second body will be

d=ut+1/2*2at^2

Equating the two, we get

2ut+1/2at^2=ut+at^2

Solving, we get t=0 and t=2u/a

d=2u*2u/a+1/2a*4u^2/a^2

d=6u^2/a