EOC Review II

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?

(press window and change the y-max so you can see the top of the graph)

(use 2nd trace max)

• 2 ft

• 80 ft

• 144 ft

• 64 ft

How fast would you reach the water if you jump of a cliff using the formula: h(t) = -16t² + 8t + 24?

(remember to hit the water is a zero)

(press 2nd trace zero)

• 8

• 1

• 1.5

• 1/4

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:

h = -16t² + 8t + 24?

(look in the table)

• 8

• 1

• 1/2

• 1/4

Find the vertex of

f(x) = -x² - 4x + 12.

(the vertex is the same as the maximum or minimum)

(Press 2nd trace and choose max or min)

• (-2, 16)

• (-2, 14)

• (2, 4)

• (-2, 4)

Determine the vertex for  y =  5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSG.GPE.A.1

Your cousin hit a golf ball with an initial velocity of 27 feet per second. The equation h = -6t² + 27t models the golf ball's height in feet t seconds after the ball was hit. How long after being hit did the ball reach maximum height?

• 1 second

• 2.25 seconds

• 3 seconds

• 4.5 seconds

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation

h = -4t² + 12t. How high did the soccer ball get?

• 1.5

• 3

• 5

• 9

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?

(press window and change the y-max to see the top of the graph)

(press 2nd trace max)

• $6060

• $20

• $600

• $10,250

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

(look at the table)

• 9.0 seconds

• 9.6 seconds

• 81.0 seconds

• 82.0 seconds