Derive the equation of motion, v= u + at
Answers
Explanation:
Three Equations of Motion
In case of motion with uniform or constant acceleration (one with equal change in velocity in equal interval of time) we derive three standard equations of motion which are also known as the laws of constant acceleration. These equations contain quantities displacement(s), velocity (initial and final), time(t) and acceleration(a) that governs the motion of a particle. These equations can only be applied when acceleration of a body is constant and motion is a straight line. The three equations are,v = u + at
v² = u² + 2as
s = ut + ½at²
where, s = displacement; u = initial velocity; v = final velocity; a = acceleration; t = time of motion
We know acceleration is defined as the rate of change of velocity, also which is given by slope of the velocity time graph.
Thus both from definition as well as graph Acceleration = Change in velocity/Time Taken i.e. a = v-u /t or at = v-u
Therefore, we have: v = u + at
Answer:
Acceleration is rate of change of velocity.
Let the initial velocity of a moving object be u.
Let its final velocity after time 't' be 'v'.
The acceleration of the object is given by,
a = v-u/t
→→at = v - u (or) v = u±at.