Question

Competitive Diver Franco and Grace are competitive divers.

Grace dives from a 20-meter cliff into the water, with an initial upward speed of 3.2 m/s.
Franco dives from a springboard that is 10 meters above the water surface with an initial upward speed of 4.2 m/s.
The height in meters of an object projected into the air with an initial vertical velocity of v meters per second and initial height of h can be modeled by (h(t) = -4.9t² + vt + h).

a. Write a function (h_((Grace))(t)) that models the height of Grace's dive.

a.(h^((Grace))(t) = -4.9t² + 3.2t + 20)
b. (h^((Grace))(t) = -4.9t² - 3.2t + 20)
c. (h^((Grace))(t) = -4.9t² + 3.2t - 20)
d.. (h^((Grace))(t) = -4.9t² - 3.2t - 20)

Answer 1

The height of Grace's dive can be modeled by the function h^((Grace))(t) = -4.9t² + 3.2t + 20.

Step-by-step explanation:

The height of an object projected into the air can be modeled by the function h(t) = -4.9t² + vt + h, where t represents time, v is the initial vertical velocity, and h is the initial height. In this case, Grace's initial upward speed is 3.2 m/s and she dives from a 20-meter cliff, so the function that models the height of Grace's dive is h^((Grace))(t) = -4.9t² + 3.2t + 20. Therefore, option a) (h^((Grace))(t) = -4.9t² + 3.2t + 20) is the correct answer.