Question 16

The Falling Rock

A rock falls from a bridge into the water below. The function H(t) – – 16t² — 225 gives

the height (measured in feet) of the rock above the water after t seconds. Use this

information to complete the table below.

t

H(t)

0

< >

1.25

1. How high was the bridge?

1.5

Use the table to answer the questions below.

Your answers must include units of measure. Do not abbreviate the units.

2. How long does it take for the rock to hit the water?

3. Determine the practical domain in this situation.

2.5

4. Determine the practical range in this situation.

< H(t) ≤

3.5

3.75/nA golfer hits a golf ball. The graph of H(t) below shows the height of the ball over time.

Height of Golf Ball (feet)

120-

Practical Domain:

100-

Practical Range:

The ball lands after

80-

60

40

20

Interpret the meaning of the vertex in this situation.

The golf ball reaches a maximum height of

2

Interpret the meaning of the horizontal intercepts in this situation.

When the golf ball was hit, it was

3 4 5 6 7

Time (seconds)

seconds.

feet after

seconds

feet above the ground.

feet

8

seconds.