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# 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?

$$e=mc^2$$