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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?

User Skarmats
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1 Answer

1 vote

Answer:

The time is 6.1 seconds, approximately.

Explanation:

The given function is


d=4.9t^(2)

Where
d is distance in meters and
t is time in seconds.

Let's isolate
t


(d)/(4.9)=t^(2)\\ t=\sqrt{(d)/(4.9) }

Where
d=185 \ m


t=\sqrt{(185)/(4.9) } \approx 6.1 \ sec

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

User Szeitlin
by
7.5k points