Predict the change in a runner’s finishing time with a wind speed of
5meters/second.
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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:
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:
[tex]t = 0.0119s ^ 2 -0.308s -0.0003[/tex]
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
[tex]t = 0.0119(5) ^ 2 -0.308(5) -0.0003\\\\t = -1,243 s[/tex]
The change was -1.243 seconds