Question

The final velocity of an object moving in one dimension is given by the formula v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. Solve this equation for t.
To solve for t, first
both sides of the equation.

Answer 1

Given problem;

We are to make t, the subject of the expression v = u + at.

The equation is one of the equations of motion.

Usually, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken.

To make "t" the subject of the expression; follow these steps;

     v = u + at

1. Subtract "u" from both sides;

                     v  (-u)  = u (-u) + at

  2. the expression is now;

                   v - u = at

 3. now multiply both sides by $\frac{1}{a}$ to isolate "t";

                      $\frac{1}{a}$(v - u) = at x $\frac{1}{a}$

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