Question

The finishing time for a runner completing the 200-meter dash is affected by the tail-wind speed, s. The change, t, in a runner's performance is modeled by the function shown below:t = 0.0119s^2 - 0.308s - 0.0003Predict the change in a runner's finishing time with a wind speed of 5 meters/second. Note: A negative answer means the runner finishes with a lower time. Round to the nearest hundredth.

Answer 1

The change, t, in a runner's performance is modeled by:

`t=0.0119s^2-0.308s-0.0003`

Here s is the tall-wind speed.

It's required to find the change in a runner's finishing time with a wind speed of s = 5 m/s.

Substitute in the equation:

`t=0.0119(5)^2-0.308(5)-0.0003`

Operating:

`\begin{gathered} t=0.0119(25)-1.44-0.0003 \\ \\ t=0.2975-1.44-0.0003 \end{gathered}`

Calculating:

t = -1.24