Quadratic Warm Up

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?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

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 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

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

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

Tags

CCSS.HSA.REI.B.4

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.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

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?

• 9.0 seconds

• 9.6 seconds

• 81.0 seconds

• 82.0 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

i² = ?

(a)  

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

(3 + 8i)(-2 - i)

• 2 - 19i

• 23 - i

• 35 + 5i

• 23 - i

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Simplify √98

• 7√2

• 2√7

• 49√2

• 2√49

Tags

CCSS.HSN.RN.A.2