6.8 Applications of Quadratics

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

An object in launched directly upward and the height of the object is represented by the equation h = –16t² + 64t + 80. What is the initial velocity the object is launched at?

• 64 feet

• 80 feet

• 16 feet

• -16 feet

"What is the maximum height the ball reaches?"

• vertex
• x-intercept
• y-intercept
• point on the graph

Tags

CCSS.HSF-IF.C.7A

"When does the ball hit the ground?"

• vertex
• x-intercept
• y-intercept
• point on the graph

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

"How high off the ground was the stone when it started?"

• vertex
• x-intercept
• y-intercept
• point on the graph

Tags

CCSS.HSF-IF.C.7A

If path of a projectile is modeled by:

h = -16t² + 20t +6, what is the height after 1 second?

• 6 feet

• 20 feet

• 10 feet

• 4 feet

Layla throws a ball upwards so it goes 15ft per second. It leaves her hand 5ft above the ground. How long will it take for the ball to hit the ground?

• 1.2 seconds

• 15.73 seconds

• 0.26 seconds

• 14.27 seconds

A rocket is launched going 350ft per second from a 40ft tall base. How much TIME goes by when it reaches the maximum height?

• about 10.9 seconds

• about 14.6 seconds

• about 12.2 seconds

• about 8.3 seconds

A rocket is launched going 350ft per second from a 40ft tall base. How high is the rocket when it reaches the maximum height?

• about 1954ft

• about 390ft

• about 14000ft

• about 1834ft

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.
What is the maximum height of the ball?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 90 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4