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Content Clinic: Modeling with Quadratics

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

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

1
1
1
Question 4
4.

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

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1
1
1
Question 8
8.

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1
Question 10
10.

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

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1
Question 12
12.

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

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1
Question 14
14.

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

1
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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1
Question 17
17.

Support your answer to #16.

1
Question 18
18.

What is the value of s, the starting height?

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1
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 2
2.

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

Question 3
3.

Jason hit the water after how many seconds?

Question 5
5.

Question 6
6.

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

Question 7
7.

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

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.

Question 11
11.

Question 13
13.

Question 16
16.

Question 19
19.

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

Question 20
20.

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

After how many seconds will the rocket be 112 feet above the ground?
7.5 seconds
7 seconds
16 seconds
1.5 seconds
1 second
Can you throw it high enough to reach the ledge?
yes
no
Will you be able to dunk the basketball?
No
Yes
If the bell is 25 ft above the ground, will it be hit by the ball?
Yes
No