Applications of Quadratics

At what time would you reach the water if you jump of a cliff using the formula:

h = -16t² + 8t + 24?

(hint: use quadratic formula)

• 8

• -1

• 1.5

• .25

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24. How long will it take for you to hit the water?

• Zeros (Solutions)

• Axis of Symmetry

• Vertex

• y-intercept

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.

• Set my equation = 0 and solve.

• Replace x with 0 and evaluate.

• Find the y-coordinate of the vertex.

When I want to find the maximum height of an object, I should_____.

• Set the equation = 0 and solve.

• Find the x- coordinate for the vertex.

• Substitute x = 0 into the equation.

• Find the y-coordinate for the vertex.

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

• -4

• 2

• 4

• 8

Ed shoots a basketball from the free throw line. The height of the ball is modeled by the function f(t) = -16t² + 112t. How long is the ball in the air before it hits the ground?

• 3.5 seconds

• 5 seconds

• 7 seconds

• 8 seconds

Beyonce kicks a ball into the air while playing with Jay Z and their kids. The path of her ball can be found using the equation h = -16t²+ 64t, how high does the ball go?

• 0 feet

• 32 feet

• 64 feet

• 96 feet

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

• 20 ft

• 15 ft

• 5 ft

• 10 ft

You and your friends launch a toy rocket from the ground with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. How long does it take to reach the max height?

• 3 seconds

• 6 seconds

• 0 seconds

• I don't know

You and your friends launch a model rocket from the ground with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What is the range of the function?

• 0 ≤ x ≤ 6

• y ≤ 145

• 0 ≤ y ≤ 145

• All Reals