Question

The function d=4.9t^2 represents the distance d, in meters, that an object falls in t seconds due to Earth’s gravity. How long, in seconds, would it take for a cliff diver who is 70 meters above the water to reach the water below?

Answer 1

To determine the time it will take for the diver to reach the water below, we derive the equation such that t will be our unknown and that will be,
                                              t  = √(d/4.9)
Substituting the known values,
                                             t = √(70 m / 4.9) = 3.78 s
Therefore, it will take the diver approximately 3.78 seconds to reach the water below.