Uniformly Accelerated Motion- The velocity of an object, in general, changes during its course of motion. Initially, at the time of Galileo, it was thought that, this change could be described by the rate of change of velocity with distance. But, through his studies of motion of freely falling objects and motion of objects on an inclined plane, Galileo concluded that, the rate of change of velocity with time is a constant of motion for all objects in free fall.
This led to the concept of acceleration as the rate of change of velocity with time.
The motion in which the acceleration remains constant is known as to be uniformly accelerated motion. There are certain equations which are used to relate the displacement `(x)`, time taken `(t)`, initial velocity `(u)`, final velocity `(v)` and acceleration `(a)` for such a motion and are known as kinematics equations for uniformly accelerated motion.
A body travelling with uniform acceleration crosses two points A and B with velocities `20 ms^(-1) and 30 ms^(-1)`, respectively. The speed of the body at mid-point of A and B is
Options:
(a) `25 ms^(-1)`
(b) `25.5 ms^(-1)`
(c) `24 ms^(-1)`
(d) `10sqrt6 ms^(-1)`