A body travelling with uniform acceleration crosses two points A and B with velocities 20 ~m / s and 30 ~m / s respectively. The speed of the body at mid point of A and B is (nearly)

Step-by-step solution

Let the acceleration of the body be ' a ' and the distance between points A and B be ' d '. aligned & v ^2- u ^2=2 ad ( from v ^2= u ^2+2 as ) & ad = v ^2- u ^2 2 = (30)^2-(20)^2 2 &=250 aligned When the body is at the mid-point of A B , then speed of the body is aligned & v ₁^2-(20)^2=2 a ( ~d 2 ) & v ₁^2-400= ad & v ₁= 650 & v ₁=25.5 ~m / s aligned