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Mathematics
9th -
12thgrade
Review on Projectile Motion and Solving Quadratic Equations
22 questions
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- 1. Multiple ChoiceA ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
What is the maximum height?960 feet1008 feet1024 feet1152 feet - 2. Multiple Choice
What is the Vertex of the graph?
(-4, -4)
(0, 0)
(-8, 0)
(-2, -3)
- 3. Multiple ChoiceA ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
When did the ball hit the ground?10 seconds2 seconds5 seconds7 seconds - 4. Multiple ChoiceWhat is the Axis of Symmetry?x = -8x = -4x = 4x = -2
- 5. Multiple Choice
What is the maximum height of the parabola?
h = 0.563
h = 10.063
h = 5
h = 1.356
- 6. Multiple Choice
A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h = -16t2 + 320. How long will it take the rock to reach the river (ground)?
4.5 seconds
2.5 seconds
3.8 seconds
3.5 seconds
- 7. Multiple Choice
A baseball was thrown from a height of 5 feet with an initial velocity of 24 feet per second at an angle above the horizontal. Write an equation to represent the situation.
y= -16x2 + 24x + 5
y= -16x2 + 24x - 5
y= 16x2 + 24x + 5
y= x2 + 24x + 5
- 8. Multiple Choice
Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to reach the maximum height?
0.6 seconds
11 seconds
6 second
this graph has a minimum
- 9. Multiple ChoiceSolve
x2 + 13x + 12 = 0x = -12, -1x = 12, 1x = 13, 1x = -13, -1 - 10. Multiple ChoiceWhat should you do first in solving this equation?
x2 + 6x - 13 = 3Get factored formWrite down: a=1, b=6, c=-13Make it equal 0 by subtracting 3 on each sideType it all in a calculator. - 11. Multiple ChoiceFactor x2-11x+24(x-3)(x-8)(x-2)(x-12)(x+3)(x+8)(x+2)(x+12)
- 12. Multiple ChoiceConvert x2 - 9x + 20 to factored form and solve.(x-10)(x+2); x = -2, 10(x+4)(x+5); x = -5, -4(x-4)(x-5); x = 4, 5Not factorable
- 13. Multiple ChoiceWhat are the roots of the function
f(x)= (x - 2)(x + 3)?x = - 2 or x = 3x = 2 or x = -3The are no real rootsx = 2 or x = 3 - 14. Multiple ChoiceAt what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t2 + 8t + 24?811/21/4 - 15. Multiple ChoiceFind the vertex.
y = 2x2 - 8x + 9(1,2)(2, 33)(2,1)(33, -2) - 16. Multiple Choice
Solve the following quadratic...
x2 - 7x + 12 = 0
x = 3, 4
x = -3, -4
x = -2, -6
x = 2, 6
- 17. Multiple Choice
Select the solutions to the equation
2x2 - 3x - 2 = 0
x = 2
x = -0.5
x = - 3
x = - 2
- 18. Multiple Choice
Select the solutions to the equation
4x2 + 11x + 7 = 0
x = - 1.75
x = 6
x = - 1
x = 1
- 19. Multiple Choice
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t2 + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?
0.5 seconds
1 second
1.5 seconds
2 seconds
3 seconds
- 20. Multiple Choice
A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?
1 foot
5 feet
7 feet
8 feet
12 feet
- 21. Multiple Choice
You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t2 + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?
0.1 seconds
0.25 seconds
0.50 seconds
1 second
2 seconds
- 22. Multiple Choice
Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation
h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?
2
4
9
10
15
- Answer choicesTagsAnswer choicesTags