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# Quadratic Functions (Word Problems Part 2)

- 1The equation shows the height (h) of a baseball in metres as a function of time (t) in seconds. $$ h=-5t^2+40t+1$$ 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?

- 2The equation shows the height (h) of a ball in metres as a function of time (t) in seconds. $$ h=-4.9t^2+147t+10$$ 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?

- 3An 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. $$ h=-0.8t^2+8t+5$$ 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?

- 4An 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. $$ h=-2t^2+20t$$ What was the maximum height?

At what time did the ball reach its maximum height?

What is the height of the ball after 6 seconds?

Was the ball moving up or down at 6 seconds?

What was the initial height of the ball?

At what time does the ball hit the ground?

- 5The 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. $$ h=-0.03d^2+0.36d+4$$ 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 4 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?

- 6A rectangular enclosure is to be built against a wall so that it has three sides. If you have 80 metres of fence, what dimensions will produce a maximum area?
- 7A rectangular enclosure is to be built against a house so that it has three sides. If you have 120 metres of fence, what dimensions will produce a maximum area?
- 8A kennel wants to build a rectangular enclosure with a fence in the middle so that two dogs can have separate areas. If 120 metres of fence is available, find the dimensions of the enclosure that will produce a maximum area.
- 9A shop usually sells 200 sandwiches for $5.00 each. For every 50 cent increase in price, they sell 10 fewer sandwiches. What should the selling price be in order to maximize revenue?
- 10A theater usually sells 100 tickets for $50.00 each. For every 1 dollar decrease in price, they sell 5 more tickets. What should the selling price be in order to maximize revenue?
- 11Find two integers that have difference of 10 and whose product is a minimum.
- 12Find two integers that have difference of 12 and whose product is a minimum.

$$e=mc^2$$