Question

F=m(v-u)/t make v the subject of the formula

Answer 1

Answer: v = (Ft + mu)/m

Step-by-step explanation:

F = m(v-u)/t

F = mv - mu/t

Ft = mv - mu

Ft + mu = mv

(Ft + mu)/m = v

Thus, v = (Ft + mu)/m

Answer 2

SOLUTION

GIVEN

$\displaystyle \sf{ F = \frac{m(v - u)}{t} }$

TO DETERMINE

Make v the subject of the formula

EVALUATION

Here the given equation is

$\displaystyle \sf{ F = \frac{m(v - u)}{t} }$

$\displaystyle \sf{ \implies Ft = m(v - u) }$

$\displaystyle \sf{ \implies \frac{Ft}{m} = (v - u) }$

$\displaystyle \sf{ \implies u + \frac{Ft}{m} = v }$

$\displaystyle \sf{ \implies v = u + \frac{Ft}{m} }$

Hence the required relation is

$\boxed{ { \: \: \displaystyle \sf{ v = u + \frac{Ft}{m} } } \: \: \: }$

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