Question

I NEED THIS ANSWERED ASAP! PLEASE!!

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t^2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t^2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

Answer 1

The answer is B. t ≈ 4 s

Answer 2

The time it takes the rock to reach the canyon floor is after 3.99seconds

Application of intercept to a function

The intercept is the point where the axis is equal to zero. Give the quadratic equation that represents the height h (in feet) of an object t seconds after it is dropped expressed as:

h = -16t² + 255

The rock reaches the ground when h(t) = 0. Substitute

h = -16t² + 255

h = -16t² + 255 = 0
16t² = 255
t² = 255/16
t² = 15.9375

t = 3.99seconds

Hence the time it takes the rock to reach the canyon floor is after 3.99seconds

Learn more on functions here: https://brainly.com/question/2833285

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