Question

The velocity in feet per second, V, a skydiver is moving at after falling for t seconds is given by the following function. $V=\frac{900t}{6t+7}$
Write an equation that expresses the amount of time, t, that the skydiver has been falling for as a function of his velocity, V.

Answer 1

The function of velocity is given by  $\rm t = \dfrac {7V}{(900-6V)}$

What is function ?

A function is defined as the law that relates a dependent variable with an independent variable.

It is given that

The velocity in feet per second, V, a skydiver is moving at after falling for t seconds is given by the following function

$\rm V = \dfrac{ 900t}{6t +7}$

(6t +7)/900t = 1/V

(6/900) + 7/900 t = 1/V

7/900t = (1/V) -(6/900)

7/t = 900/V - 6

7/t = (900-6V) / V

$\rm t = \dfrac {7V}{(900-6V)}$

Therefore time in the function of velocity is given by  $\rm t = \dfrac {7V}{(900-6V)}$

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