Solve v1*t1/p1=v^2*t^2/p^2

Evaluate

v \times 1 \times t \times \frac{1}{p} \times 1 = v^{2} \times \frac{t ^{2}}{p ^{2}}

Multiply the terms

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\frac{v t}{p} = v^{2} \times \frac{t ^{2}}{p ^{2}}

Multiply the terms

\frac{v t}{p} = \frac{v ^{2} t ^{2}}{p ^{2}}

Cross multiply

v t p^{2} = p v^{2} t^{2}

Simplify the equation

v t p^{2} = v^{2} t^{2} p

Rewrite the expression

t v p^{2} = t v \times v tp

Evaluate

p^{2} = v tp

Move the expression to the left side

p^{2} - v tp = 0

Expand the expression

p^{2} - t v p = 0

Factor the expression

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p (p - t v) = 0

When the product of factors equals 0,at least one factor is 0

p = 0 p - t v = 0

Solution

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p = 0 p = t v

Solve the equation