Question

How will the equations of motion for an object moving with a uniform velocity change?

Answer 1

Step 1: Equation of motion for moving objects

We know the formulae of kinematics for moving bodies

$s=ut+\frac{1}{2}a{t}^2...........\left(1\right)$

$v^2=u^2-2as.............\left(2\right)$

$v=u+at.................\left(3\right)$

where v and u are the final and initial velocities, s is the distance traveled by the object, a is the acceleration due to gravity and t is the total time taken by the object to travel.

Step 2: Uniform velocity

1. Uniform velocity change means the acceleration is zero.
2. For the case of uniform velocity, final velocity = initial velocity. This means no force is acted on the object.

Step 3: Equation of motion of an object with uniform velocity

For uniform velocity, $finalvelocity-initialvelocity=0.$

And acceleration is zero.

Now, the three equations of motion are (From equations (1), (2), (3) )

$$\begin{gathered} S=ut \\ {v}^2-u^2=0 \\ v=u \end{gathered}$$.

So, the equations of motion are $S=ut$, $v^2-u^2=0$ and $v=u$.