An object moving with a constant acceleration in a straight line travels from A to B. At half -time , the position of the object is P . Prove that `(AP)/(BP) = (3u+v)/(3v+u)`, where u and v are the velocities at A and B respectively.

A particle starting from a point A and moving with a positive constant acceleration along a straight line reaches another point B is time T. Suppose that the initial velocity of the particle is u gt0 and P is the midpoint of the line AB. If the velocity of the particle at point P is v_(1) and if the velocity at time (T)/(2) is v_(2) , then -

For a concave mirror, prove that 1/u+1/v=1/f , where u, v and f have their usual meanings.

The distance travelled by an object along a straight line in time 't' is given by S = 3 - 4t + 5t^(2) , the initial velocity of the object is

Starting from rest and under constant acceleration an object covers 400 m. (i) How far does the object move in half the time ?

An object moving on a straight line covers first half of the distance at speed v and second half at speed 2v. Find - (i) Average speed (ii) Mean speed

If u and v are two differentiable functions of x and y = uv , prove that , (y')/(y)=(u')/(u)+(v')/(v) where dash (') denotes derivative w.r.t.x.

A point object P moves towards a convex mirror with a constant speed V along its optic axis. The speed of the image