Question

Derive the equation describing the relation between velocity and time (first equation of motion)​

Answer 1

Answer:

Explanation: The first equation of motion relates velocity to time. We essentially derived it from this derivative… The second equation of motion relates position to time.

...

calculus derivations.

v = v0 + at [1]

+

s = s0 + v0t + ½at2 [2]

=

v2 = v02 + 2a(s − s0) [3]

Answer 2

Explanation:

Derivation of First Equation of Motion by Algebraic Method

We know that the acceleration of the body is defined as the rate of change of velocity.

Mathematically, acceleration is represented as follows:

a=v−ut

where v is the final velocity and u is the initial velocity.

Rearranging the above equation, we arrive at the first equation of motion as follows:

v=u+at