First Equation of Motion

The first equation of motion is also known as the equation of uniform acceleration. It is given by:

v = u + at

Where,
v = final velocity
u = initial velocity
a = acceleration
t = time

Explanation

Acceleration, time, velocity, and displacement are the four main physical quantities involved in motion. The first equation of motion relates the initial velocity, final velocity, acceleration, and time taken by an object to undergo a uniform acceleration. Let's understand the role of each physical quantity in this equation.

Acceleration (a)

Acceleration is the rate of change of velocity with respect to time. It is the measure of how quickly the velocity of an object changes. In the first equation of motion, acceleration (a) is one of the main physical quantities. It represents the rate at which the velocity of an object changes with respect to time.

Time (t)

Time is the duration for which an object is in motion. It is the measure of how long an object takes to cover a certain distance or undergo a certain change in velocity. In the first equation of motion, time (t) is also one of the main physical quantities. It represents the duration for which an object is under uniform acceleration.

Velocity (u, v)

Velocity is the measure of how fast an object is moving in a particular direction. It is the rate of change of displacement with respect to time. In the first equation of motion, both initial velocity (u) and final velocity (v) are involved. Initial velocity represents the velocity of an object at the start of motion, and final velocity represents the velocity of an object at the end of motion.

Displacement (s)

Displacement is the measure of the change in position of an object from its initial position to its final position. It is the shortest distance between the initial and final points. In the first equation of motion, displacement is not directly involved. The equation only relates the initial and final velocities of an object undergoing uniform acceleration.

Conclusion

The correct answer to the question is option 'D' - displacement. Displacement is not present in the first equation of motion as it only relates to the initial and final velocities of an object undergoing uniform acceleration. It does not take into account the distance covered or the change in position of an object.

Because displacement is a vector quantity and first equation is v=u+at
hope it will help u