This site uses flash for videos. If you're having trouble enabling it, click on the information icon in the address bar to change your settings to allow Flash.

Quadratic Functions (Word Problems Part 1)

  1. 1
    The equation shows the height (h) of a baseball in metres as a function of time (t) in seconds. $$ h=-5(t-2)^2+21$$ What was the maximum height?

    At what time did the ball reach its maximum height?

    What is the height of the ball after 1 second?

    What was the initial height of the ball?

    At what time does the ball hit the ground?
  2. 2
    The equation shows the height (h) of a ball in metres as a function of time (t) in seconds. $$ h=-4.9(t-3)^2+46$$ What was the maximum height?

    At what time did the ball reach its maximum height?

    What is the height of the ball after 2 seconds?

    What was the initial height of the ball?

    At what time does the ball hit the ground?
  3. 3
    An astronaut throws a rock on the moon. The equation shows the height (h) of the rock in metres as a function of time (t) in seconds. $$ h=-0.8(t-4)^2+15$$ What was the maximum height?

    At what time did the rock reach its maximum height?

    What is the height of the rock after 1 second?

    What was the initial height of the rock?

    At what time does the rock hit the ground?
  4. 4
    An astronaut kicks a ball on mars. The equation shows the height (h) of the ball in metres as a function of time (t) in seconds. $$ h=-2(t-5)^2+50$$ What was the maximum height?

    At what time did the ball reach its maximum height?

    What is the height of the ball after 3 seconds?

    What was the initial height of the ball?

    At what time does the ball hit the ground?
  5. 5
    The equation shows the height of a basketball, h metres, as a function of the horizontal distance, d metres, the ball travels until it first hits the ground. $$ h=-0.05(d-10)^2+8$$ What was the maximum height?

    At what distance from the player did the ball reach its maximum height?

    What is the height of the ball at 4 metres from the player?

    What was the initial height of the ball?

    At what distance from the player does the ball hit the ground?
  6. 6
    The equation shows the height of a rocket, h metres, as a function of the horizontal distance, d metres, the rocket travels from the launch pad until it hits the ground. $$ h=-0.04(d-20)^2+30$$ What was the maximum height?

    At what distance from the launch pad did the rocket reach its maximum height?

    What is the height of the rocket at 5 metres from the launch pad?

    What was the initial height of the rocket?

    At what distance from the launch pad does the rocket hit the ground?
  7. 7
    The equation shows the height (h) of a football in metres as a function of time (t) in seconds. $$ h=-5(t-3.5)^2+63$$ What was the maximum height?

    At what time did the ball reach its maximum height?

    What is the height of the ball after 2 seconds?

    What was the initial height of the ball?

    At what time does the ball hit the ground?
  8. 8
    The equation shows the height of a rocket, h metres, as a function of the horizontal distance, d metres, the rocket travels from the launch pad until it hits the ground. $$ h=-0.03(d-25)^2+22$$ What was the maximum height?

    At what distance from the launch pad did the rocket reach its maximum height?

    What is the height of the rocket at 5 metres from the launch pad?

    What was the initial height of the rocket?

    At what distance from the launch pad does the rocket hit the ground?

$$e=mc^2$$