Quadratic Applications

An object flies through the air and follows a parabolic path. What does the y-axis represent? 

• time 
• height from the ground 
• horizontal distance 
• money 

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis? 

• time 
• height from the ground 

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 
• 0 feet
• 20 feet 
• 6 feet 

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

To calculate the TIME that a maximum height occurs, you should use: 

• -b/(2a) 
• Quadratic formula 
• the c value 
• 0

Tags

CCSS.HSA.REI.B.4

What is the starting height of a ball that follows the path y = -16x² + 8x + 5 ?

• 8 ft

• 5 ft

• Not enough information

• 4 ft

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 0 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

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

• 10 seconds
• 64 seconds
• 960 seconds
• 2 seconds

Tags

CCSS.HSA.REI.B.4

Superman kicks a ball into the air.  The path can be found using the equation d(t) = -16t²+ 48x, how long is the ball above 30 feet?

• 1 seconds
• 5 seconds
• 4 seconds
• 6 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:
h(x)= -5x² + 10x + 15
How long does it take the stone to reach its highest point?

• 1 seconds
• 1.5 seconds
• 2 seconds
• 3 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7