Solving Quadratics and Word Problems

You are cliff diving with some friends. Your path to the water is modeled by h(t) = -16t^2 + 8t +24. How long will it take for you to hit the water? What are you solving for?

• roots

• axis of symmetry

• y-value of the vertex

• y-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

A model rocket is launched from the ground and it's path is modeled by the function h(t) = -16t² + 96t. What are you solving for?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

A dolphin jumps from the water. The function h(t) = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? What are you solving for?

• solutions

• y-intercept

• axis of symmetry

• y-value of the vertex

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

An object in launched in the air is modeled by the function

s(t) = –16t² + 64t + 80, where t is the time in seconds. From what height was the object launched? What are you solving for?

• zeros

• axis of symmetry

• y-intercept

• y-value of the vertex

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A ball is thrown into the air. Its height in feet after t seconds is given by the function h(t) = –5t² + 20t. How high will the ball be after 3 seconds?

• 20 ft

• 15 ft

• 5 ft

• 10 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

The height of a ball that is thrown into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 4 meters

• 5 meters

• 8 meters

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

• 128 ft

• 0 seconds

• 0 ft

• 4 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If you jump off a cliff and your path is modeled by the function,

h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

A soccer ball is kicked from the ground and its path is modeled by the function h(t)= -t² + 5t, where t is time in seconds. What is the maximum height of the ball?

• 5 ft

• 6.25 ft

• 18.75 ft

• 2.5 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

Your younger sibling is standing on his deck, which is 4 feet off the ground. They toss their toy up into the air. The toy's height, h, from the ground at t seconds after they threw it is modeled by the function h(t) = -2t² + 7t + 4. How long does it take the toy to hit the ground?

• .5 sec

• 2 sec

• 4 sec

• 8 sec

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1