WorksheetsModeling with Quadratics
Total questions: 20
Worksheet time: 2hrs 43mins
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80
What will be the object's maximum height?
2 ft
80 ft
144 ft
64 ft
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
How long would it take you to hit the water?
8 seconds
1 second
1.5 seconds
1/4 second
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
8 seconds
1 second
1/2 second
1/4 second
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform?
.25 ft
24 ft
25 ft
8 ft
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
$6060
$20
$600
$10,250
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
1.73 seconds
2.24 seconds
2.45 seconds
2.83 seconds
A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t2 + 40t + 10
How many seconds does it take the ball to reach its maximum height?
1.25 seconds
1.4 seconds
2.5 seconds
2 seconds
If each mark on the x-axis represents one second, when did the object reach the ground?
2.5 seconds
6 seconds
5.5 seconds
5 seconds
Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t2 + 45
When is the ball at ground level?
only at t = 0 seconds
only at t = 3 seconds
only at t = 9 seconds
at both t = 0 seconds and t = 3 seconds
A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t2 + 40t + 10
How many seconds does it take the ball to reach its maximum height?
1.25 seconds
1.4 seconds
2.5 seconds
2 seconds
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
A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?
1.094 ft
174.141 ft
155 ft
4.393 ft
None of the above
A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?
1.094 seconds
174.141 seconds
155 seconds
4.393 seconds
None of the above
A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?
1.094 ft
174.141 ft
155 ft
4.393 ft
None of the above
A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?
1.094 seconds
174.141 seconds
155 seconds
4.393 seconds
None of the above
Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?
1 second
5 seconds
7 seconds
11 seconds
Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?
25 feet
45 feet
65 feet
85 feet
Two characteristics of quadratic function p are given.
*The axis of symmetry of the graph of p is x = -3.
*Function p has exactly one zero.
Based on this information, which graph could represent p?
Given g(x)=x2−6x−16 , which statement is true?
The zeros are -8 and 2
The zeros are -8 and -2
The zeros are -2 and 8
The zeros are 2 and 8
