Quiz about Real-World Quadratic Equations

Question 1

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

Accepted Answer

Set my equation = 0 and solve.

Answer

Use x = (-b/2a) as my answer.

Answer

Replace x with 0 and evaluate.

Answer

Find the y-coordinate of the vertex.

Question 2

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?

Accepted Answer

14 seconds

Answer

1 second

Answer

7 seconds

Question 3

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What is the height of the rocket at 5 seconds?

Accepted Answer

60 feet

Answer

30 feet

Answer

65 feet

Answer

70 feet

Question 4

At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
$$h\left(x\right)=-4x^2+24x+10$$
Part A: What is the starting height of the t-shirt?

Accepted Answer

Answer

Answer

Answer

Question 5

At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
$$h\left(x\right)=-4x^2+24x+10$$
Part B: After how many seconds does the t-shirt reach its greatest height? Solve algebraically.

Accepted Answer

<html><head></head><body>3 seconds</body></html>

Answer

<html><head></head><body>46 seconds</body></html>

Answer

<html><head></head><body>5 seconds</body></html>

Answer

<html><head></head><body>10 seconds</body></html>

Question 6

At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, is given by the equation:
$$h\left(x\right)=-4x^2+24x+10$$
Approximately how many seconds does the t-shirt stay in the air? Use Calculator To Help

Accepted Answer

Between 9 and 10 seconds

Answer

Between 4 and 5 seconds

Answer

Between 5 and 6 seconds

Answer

Between 6 and 7 seconds

Question 7

Prince is trying to throw a ball over a fence. The height of the ball, in feet based on the number of seconds, is represented by the equation:
$$f\left(t\right)=-3.5t^2+14t+3$$
How long does it take the ball to reach it's max height?

Accepted Answer

<html><head></head><body>2 seconds</body></html>

Answer

<html><head></head><body>3 seconds</body></html>

Answer

<html><head></head><body>4 seconds</body></html>

Answer

3.5 seconds

Question 8

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

Accepted Answer

1.5 seconds

Answer

8 seconds

Answer

1 second

Answer

1/4 second

Question 9

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

Accepted Answer

$6060

Answer

$20

Answer

$600

Answer

$10,250

Question 10

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

Accepted Answer

2.24 seconds

Answer

1.73 seconds

Answer

2.45 seconds

Answer

2.83 seconds

Question 11

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

Accepted Answer

1.25 seconds

Answer

1.4 seconds

Answer

2.5 seconds

Answer

2 seconds

Question 12

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

Accepted Answer

only at t = 3 seconds

Answer

only at t = 0 seconds

Answer

only at t = 9 seconds

Answer

at both t = 0 seconds and t = 3 seconds

Question 13

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

Accepted Answer

9.0 seconds

Answer

9.6 seconds

Answer

81.0 seconds

Answer

82.0 seconds

Question 14

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

Accepted Answer

0.50 seconds

Answer

0.1 seconds

Answer

0.25 seconds

Answer

0.75 seconds

Answer

1 second

Question 15

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

Accepted Answer

6 seconds

Answer

4 seconds

Answer

-2 seconds

Answer

9 seconds

Question 16

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t
When will the object reach its maximum height?

Accepted Answer

4 seconds

Answer

4 ft

Answer

0 seconds

Answer

0 ft

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