Question

It is not possible to derive an equation of motion for uniform acceleration without a time variable. Is this true or false?

Answer 1

The third equation of motion is given as,

`v^2=u^2+2as`

Here, v is the final velocity, u is the initial velocity, a is the acceleration and s is displacement.

The expression for the acceleration is given as,

`a=(v^2-u^2)/(2s)`

In the above expression, the acceleration of the body is not a function of the time variable. Therefore, it is possible to derive an equation of motion for uniform acceleration without a time variable. Hence, the given statement is false.