Question

Predict the change in a runner’s finishing time with a wind speed of 5meters/second.

Answer 1

Answer:

t = -1.24

Step-by-step explanation:

From the equation;

t = 0.0119s² - 0.308 s -0.0003

Where t is the change in a runner's performance, and s is the tail wind speed.

But s = 5 m/s

Therefore;

t = 0.0119 (5²) - 0.308(5) -0.0003

 = 0.2975 - 1.54 - 0.0003

 = - 1.2428

Since, negative means a runner finishes with a lower time, then;

t = -1.2428 to the nearest hundredth

  = -1.24

Answer 2

Answer:

The change t was -1.243 seconds

Step-by-step explanation:

We already have the equation that models the change in the runner's time based on the wind speed s.

This relation between t and s is given by a quadratic function.

If the function is:

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

To predict the change in the completion time when the speed is 5m/s, we must replace s = 5 in the equation.

Then we substitute s = 5

$t = 0.0119(5) ^ 2 -0.308(5) -0.0003\\\\t = -1,243 s$

The change was -1.243 seconds