Quadratic Functions Word Problems

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

• 2 meters

• 5 meters

• 40 meters

• 20 meters

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

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

CCSS.HSF.IF.B.4

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

• $0\le x\le2.5$

• $0<x<5.5$

• $2.5<x<5.5$

• $x\ge2$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x² + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

• the initial height of the ball

• the time at which the ball reaches the ground

• the time at which the ball was at its highest point

• the maximum height the ball attained when thrown in the air

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t² .

How many seconds after the ball is thrown will it return to the ground?

• 9.2

• 6

• 4.5

• 4

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

The height of a water balloon that is launched into the air is given by

h(t) = -5x²+20x+25.

When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

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.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

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7