LESSON 6 – WORD PROBLEMS
WARM UP
Label the key features on the graph:
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Maximum Height
Initial Height
Time when the ball lands
1
Example ① The path of a football is modeled by the relation ℎ = − (𝑡 − 2)2 + 9, where t
2
is the time, in seconds, after it was kicked, and h is the height, in metres, above
the ground.
a) Sketch the path of the football.
b) What is the maximum height of the football?
c) What is the time when this occurs?
d) What is the height of the football 2seconds after it was kicked?
e) Find another time where the height is the same as in part d).
Example ② A model rocket is launched from a height of 2m above the ground and reaches a
maximum height of 50m at a horizontal distance of 20m.
a) Determine the equation to model the path of the rocket.
b) The model rocket continues to travel an additional 5m horizontally after it
reaches it’s maximum height. Then it started to experience some difficulty and
fell directly down to the ground. What was its height when it experienced
some difficulty?
c) What other horizontal distance was the model rocket at the same height as
when it experienced some difficulty?