Question

what is the speed of the body moving with uniform acceleration at the midpoint of two points on a straight line,where the speed are u and v respectively?

Answer 1

We cannont tell the exact speed...we just have to measure the average speed... that's what we can tell.

Answer 2

Let A & B are two points at S meter apart, C is the mid point and a is the uniform acceleration with the body travels.Velocity at A, U = 20 m/sVelocity at B, V = 30 m/sVelocity at C, W = ?We have the motion equationV^2 = U^2 + 2aSApplying the equation for the velocities at point A & B30^2 = 20^2 + 2aS900 = 400 + 2aS250 = aSa= 250/SNow applying the equation for the velocities at point A & CAs C is the mid point, distance between A & C is S/2W^2 = 20^2 + 2*a* (S/2)W^2 = 400 + 2* (250/S) * (S/2)W^2 = 400+250W = Sqrt (650)W= 25.4950976 m/sSo velocity of the body at mid point of A & B is 25.4950976 m/s