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

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.