9. During training, a hurdler wants to raise the height of the hurdles from the high school standard of 39 inches to the
NCAA standard of 42 inches. His best race from last season included a clear over a 39-inch hurdle that was modeled by
h(t) = (-0.0251)(1-25), where t is time (in tenths of a second) after his lead leg left the track and h is the height (in feet).
If he runs as well as his best race last year, will this hurdler clear the new height? Why or why not

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bossygirl35 bossygirl35 · Answer 1 · 2020-10-06T17:05:28+02:00

Answer:

Something doesn't make sense. The time when his height is 0 is time t=0 and t=25.

The vertex would be halfway in between at time t=(0+25)/2 = 12.5 seconds.

But plugging that in, we get a height of:

3.90625 inches

I think you must have a typo... let's try this equation instead:

h(t) = (-0.25t)(t - 25)

In that case, the maximum at h(12.5) is 39.0625 inches.

Answer:

No, the function for his height has him just barely clearing 39 inches. He can't clear 42 inches.

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