Unit 6 Lesson 5-7 QPC Prep Projectile Motion and Quadratics

A ball is thrown into the air with an upward velocity of 64 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 seconds
• 2 seconds
• 5 seconds
• 7 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. How long was the rocket in the air?

• 1 second

• 7 seconds

• 14 seconds

A company graphed the revenue (profit) based on selling price of their item. If the items were $62, how much revenue would they have?

• $0

• $31.80

• $62

• $2,528,100

A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 100t + 5

How many seconds did it take for the ball to reach its maximum height?

• 3.654 seconds

• 2.451 seconds

• 161.25 seconds

• 3.125 seconds

A ball is thrown into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 100t + 5.

When did the ball hit the ground?

• 6.300 seconds

• 11.251 seconds

• 5.369 seconds

• 7.458 seconds

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

• 95 feet
• 45 feet
• 70 feet
• 171.56 feet

Given the revenue function R(x) = -500x²+8000x+100. How can you find the max revenue?

• Find the Vertex, then the max revenue will be the x value of the vertex.

• Find the Vertex, then the max revenue will be the y value of the vertex.

• The max revenue is the same as the y-intercept

• Find the zeros and the larger value is the max revenue.

What is the Vertex of the graph?

• (-4, -4)

• (0, 0)

• (-8, 0)

• (-2, -3)

In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)

• The y-intercept

• The x-intercepts

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• Something else

A ball is thrown into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 100t + 5.

What is the maximum height?

• 125.251 feet

• 161.25 feet

• 239.126 feet

• 115.25 feet