Question

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?

Answer 1

Answer:

The time is 6.1 seconds, approximately.

Step-by-step explanation:

The given function is

$d=4.9t^{2}$

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

Let's isolate $t$

$\frac{d}{4.9}=t^{2}\\ t=\sqrt{\frac{d}{4.9} }$

Where $d=185 \ m$

$t=\sqrt{\frac{185}{4.9} } \approx 6.1 \ sec$

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