Is it true that the first equation of motion is $v = u + at$ ?

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True

False

answer is A.

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Detailed Solution

The above statement is true.
Consider a body travelling in a straight line with uniform acceleration for the derivation. The initial velocity is denoted by

u

, the acceleration is denoted by

a

, the time period is denoted by

t,

the final velocity is denoted by

v

, and the distance travelled is denoted by

s .

We know that the rate of change of velocity is defined as the acceleration of the body.
Acceleration is represented mathematically as follows:

a = \frac{v - u}{t}

where

v

represents the final velocity and

u

represents the beginning velocity
Rearranging the above equation yields the first equation of motion, which is as follows:

v = u + at

This equation that relates the initial and final velocity of an object with its acceleration and time is known as the first equation of motion.

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