Make u the subject of formula, E = rac{m}{2g}(v 2 - u 2 )

Correct Answer is : u = v2−2Egm{v² - 2Eg/m}v2−m2Eg

Correct Answer is : u = v2−2Egm{v² - 2Eg/m}v2−m2Eg

Test Index

WAEC Mathematics 2014 Paper

Question : 11

Total: 49

rac{m}{2g}

(v² - u²)

Solution:

Concept:

Transpose the given formula to isolate

u

on one side, then take the square root.

Explanation:

Start with the given equation:

E = \frac{m}{2g}(v^2 - u^2)

Multiply both sides by

2g

2Eg = m(v^2 - u^2)

Expand the right-hand side:

2Eg = mv^2 - mu^2

Rewrite to bring the term containing

u^2

to one side:

mu^2 = mv^2 - 2Eg

Divide both sides by

m

u^2 = v^2 - \frac{2Eg}{m}

Take the square root of both sides to make

u

the subject:

u = \sqrt{v^2 - \frac{2Eg}{m}}

Answer:

Option A:

u = \sqrt{v^2 - \frac{2Eg}{m}}

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