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Quadratic Word Problems
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Quadratic Word Problems
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20 Questions

1. Alex launched a ball into the air. The height of the ball can be represented by the equation h=-8t ² + 40t. How long will it be before the ball hits the ground?

2. At a swim meet, Janet dives from a diving board. Her position above the water is represented by the equation h(t) = -t ² + 8t , where t represents time in seconds and h(t) represents height in feet. How many seconds until Janet hits the water? (Hint: Height above water would equal zero)

3. The equation y=-3x + 18 represents the height, in meters, of a firework x seconds after it's launched. How long was the firework in the air?

4. Alex launched a ball into the air. The height of the ball can be represented by the equation h=-8t ² + 24t. How long until the ball reaches the ground again?

5. An Air Force pilot is forced to eject from her aircraft. The function y=-16x ² + 128x . represents her height in feet, y , above the ground where x is time, in seconds, after she is ejected. When will the pilot land?

6. An Air Force pilot is forced to eject from her aircraft. The function y=-16x ² + 3200x. represents her height in feet, y , above the ground where x is time, in seconds, after she is ejected. How long was she in the air after ejecting from her aircraft?

7. Alex launched a ball into the air. The height of the ball can be represented by the equation h=-6t ² + 48t. When will the ball hit the ground?

8. The x- intercept of the graph

9. the initial height of an object

10. An Air Force pilot is forced to eject from her aircraft. The function y=-16x ² + 1600x. represents her height in feet, y , above the ground where x is time, in seconds, after she is ejected. She must deploy her parachute at her maximum height. How long until she hits the ground?

11. The equation y=-4x+12 represents the height, in meters, of a firework x seconds after it's launched. How long was the firework in the ground?

12. the graph of a quadratic function

13. Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin is above the water is modeled by the equation y = -16x ²+ 96x. Where x represents time in seconds. When does the coin hit the water?

14. The formula for the axis of symmetry

15. When will the object hit the ground? h(t) = -16t ² + 80t

16. Alex launched a ball into the air. The height of the ball can be represented by the equation h=-8t ² + 40t. What is the initial height of the ball?

17. The profits of Mr. Unlucky's company can be represented by the equation y = -3x ² + 15x, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. When will Unlucky's business return to 0?

18. Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin is above the water is modeled by the equation y = -18x ²+ 180x. Where x represents time in seconds. How much time will it take for the coin to hit the water?

19. the maximum or minimum value on a parabola

20. At a swim meet, Janet dives from a diving board. Her position above the water is represented by the equation h(t) = -3t ² + 21t, where t represents time in seconds and h(t) represents height in feet. When will Janet hit the water?

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