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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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