Stunt Double A movie stunt double jumps from the top of a building 50 feet above the ground onto a pad on the ground
below. The stunt double jumps with an initial vertical velocity
of 10 feet per second.
a. Write and graph a function that models the height h (in feet)
of the stunt double t seconds after she jumps.
b. How long does it take the stunt double to reach the ground?

2.1 s

Step-by-step explanation:

1. Write the equation

The formula for vertical displacement is

y =  h + v₀t - ½gt²

h = 50     ft

v₀ = 10     ft/s

g = 32.2 ft/s²

Insert the values

y = 50 + 10t - ½ × 32.2t²

y = 50 + 10t - 16.1t²

The graph below shows the height as a function of time.

2. Solve the equation

a = -16.1; b = 10; c = 50

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )