A diver begins at sea level and descends vertically at a rate of 2 1/2 feet per second. How long does the diver take to reach -15.6 feet?

Question

A diver begins at sea level and descends vertically at a rate of 2 1/2 feet per second. How long does the diver take to reach -15.6 feet?

1 Answer

Impact of this question

5131 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-01T02:17:03

It takes the diver 6.24 seconds to reach the depth of -15.6 feet.

Explanation:

The formula for depth for a diver descending at a constant rate is:

$d = s + r \cdot t$ $d = s + r*t$ where $d$ $d$ is the new depth, $s$ $s$ is the starting depth, $r$ $r$ is the rate of change and $t$ $t$ is the time.

So substituting for what we know:

$- 15.6 = 0 + - 2.5 t$ $-15.6 = 0 + -2.5t$

$- 15.6 = - 2.5 t$ $-15.6 = -2.5t$

$\frac{- 15.6}{- 2.5} = \frac{- 2.5 t}{- 2.5}$ $(-15.6)/-2.5 = (-2.5t)/-2.5$

$t = 6.24$ $t = 6.24$

Science

Math

Humanities

... and beyond

A diver begins at sea level and descends vertically at a rate of 2 1/2 feet per second. How long does the diver take to reach -15.6 feet?

1 Answer

Explanation:

Related questions

Impact of this question