Applications with Quadratics

Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t² + 32t + 28, where t is the time in seconds. What is the maximum height that the arrow reaches?

• 24 ft

• 28 ft

• 44 ft

• 32 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

A person standing close to the edge on the top of an 80-foot tower throws a ball with an initial speed of 64 feet per second. After t seconds, the height of the ball above the ground is s(t) = -16t² + 64t + 80 . After how many seconds will the ball reach its maximum height?

• 80 feet

• 5 seconds

• 2 seconds

• 144 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 4.4 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

A toy rocket is launched and its height is modeled by the equation h = -16t² + 32t + 48. What is the initial height of the object?

• 48 ft

• 64 ft

• 32 ft

• 16 ft

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4

If path of a projectile is modeled by:  h(t) = -16t² + 20t +6, what is the height after 1 second? 

• 6 ft

• 20 ft

• 10 ft

• 4 ft

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 210

• 250

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function

h(t) = -16t² + 256. 

How many seconds did it take the raft to hit the water? 

• -4 sec

• 2 sec

• 4 sec

• 8 sec

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation

h(t) = -16t² + 320

How high will the rock be after 2 seconds?

• 212 ft

• 256 ft

• 320 ft

• 160 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Fireworks are fired from the roof of a 100-foot building. The equation

h(t) = -16t² +84t + 100

models the height, h, of the fireworks at any given time, t. How high do the fireworks get, to the nearest tenth of a foot?

• 210.0 ft

• 210.2 ft

• 210.3 ft

• 210.5 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Fireworks are fired from the roof of a 100-foot building. The equation

h(t) = -16t² +84t + 100

models the height, h, of the fireworks at any given time, t. Approximately how high are the fireworks after 4 seconds ?

• 210 ft

• 100 ft

• 200 ft

• 180 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2