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Content Clinic: Modeling with Quadratics

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Last updated about 1 year ago
23 questions
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Question 1
1.

How long did it take Jason, in seconds, to reach his maximum height?

1
Question 2
2.

What was the highest point, in feet, that Jason reached?

1
Question 3
3.

Jason hit the water after how many seconds?

1
Question 4
4.

How long, in seconds, will it take for the rocket to return to the ground?

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1
Question 6
6.

How long, in seconds, will it take the rocket to reach its maximum height?

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Question 7
7.

What is the maximum height, in feet, reached by the rocket?

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Question 8
8.

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Question 9
9.

How long, in seconds, will the rocket take to hit the ground after it is launched?
Round to the nearest tenth of a second.

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Question 10
10.

What is the maximum height, in feet, of the grappling hook?

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Question 11
11.

Can you throw it high enough to reach the ledge?

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Question 12
12.

What is the maximum height, in feet, your feet will be above the ground?

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Question 13
13.

Will you be able to dunk the basketball?

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Question 14
14.

How long, in seconds, will it take the diver to hit the water?

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Question 15
15.

Use the formula h(t)= -16t^2 + vt + s to find out how long it will take the ball to hit the ground.

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Question 16
16.

If the bell is 25 ft above the ground, will it be hit by the ball?

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Question 17
17.

Support your answer to #16.

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Question 18
18.

What is the value of s, the starting height?

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Question 19
19.

What is the value of h when the anchor hits the water?

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Question 20
20.

The starting velocity is zero. After how many seconds will the anchor hit the water?

Question 21
21.

An amateur rocketry club is holding a competition. There is cloud cover at 1000 ft.If a rocket is launched with a velocity of 315 ft/s, use the function h(t) = -16t2 + vt + h0 to determine how long the rocket is out of sight.

Question 22
22.

A trebuchet launches a projectile on a parabolic arc from a height of 47 ft at a velocity of 40 ft/s.

Using the function h(t) = -16t2 + vt + h0 , determine when the projectile will first reach a height of 60 ft.

How many seconds will take the projectile to, again, reach 60 feet?

Question 23
23.

During World War I, mortars were fired from trenches 3 feet down. The mortars had a velocity of 150 ft/s.

Determine how long it will take for the mortar shell to strike its target.

How high is the target?

Question 5
5.

After how many seconds will the rocket be 112 feet above the ground?