Final answer:
To make v the subject of the formula F = m(v-u)/t, you multiply both sides by t, then add mu to both sides, and finally divide both sides by m to solve for v, resulting in the equation v = (Ft + mu)/m.
Step-by-step explanation:
The original formula F = m(v-u)/t requires us to solve for velocity (v). In this context, F represents the force applied, m is the mass of the object, u is the initial velocity, v is the final velocity, and t is the time over which the force is applied. To make v the subject, we need to manipulate the formula:
Multiply both sides by t to get rid of the denominator on the right side, resulting in Ft = m(v-u).
Add mu to both sides to isolate mv on the right side, giving us Ft + mu = mv.
Finally, divide both sides by m to solve for v, and you end up with v = (Ft + mu)/m