contestada

The function d = 4.9t2 represents the distance d, in meters, that a diver falls in t in seconds due to Earth’s gravity. Which equation represents the time, t, during a dive. How much time does it take for a cliff diver who is 185 meters above the water to reach the water below? Round to the nearest tenth.

A. t=d−4.92,13.4 s
B. t=d−4.9−−−−−−−√,12.1 s
C. t=d4.9−−−√,6.1 s
D. t=d4.9−−−√,1,421 s
Whats the answer?

Respuesta :

Answer:

The time is 6.1 seconds, approximately.

Step-by-step explanation:

The given function is

[tex]d=4.9t^{2}[/tex]

Where [tex]d[/tex] is distance in meters and [tex]t[/tex] is time in seconds.

Let's isolate [tex]t[/tex]

[tex]\frac{d}{4.9}=t^{2}\\ t=\sqrt{\frac{d}{4.9} }[/tex]

Where [tex]d=185 \ m[/tex]

[tex]t=\sqrt{\frac{185}{4.9} } \approx 6.1 \ sec[/tex]

Therefore, the right answer is C. The time is 6.1 seconds, approximately.

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