Solve v(t)=5t^22t 1

Evaluate

v (t) = 5 t^{2} \times 2 t \times 1

Simplify

More Steps

v (t) = 10 t^{3}

In the equation for v (t),replace v (t) with y

y = 10 t^{3}

Interchange t and y

t = 10 y^{3}

Swap the sides of the equation

10 y^{3} = t

Divide both sides

\frac{10 y ^{3}}{10} = \frac{t}{10}

Divide the numbers

y^{3} = \frac{t}{10}

Take the 3 -th root on both sides of the equation

3 y^{3} = 3 \frac{t}{10}

Calculate

y = 3 \frac{t}{10}

Simplify the root

More Steps

y = \frac{3 100 t}{10}

Solution

v^{- 1} (t) = \frac{3 100 t}{10}

Function