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?

$$e=mc^2$$