Answer:
<u>Part A:</u>
<u>The equation describing the relationship between speed and time is:</u>
<u>s = 32t</u>
<u>Ordered pairs of the form (speed, time) are:</u>
<u>(32, 1)</u>
<u>(64, 2)</u>
<u>(96, 3)</u>
<u>(128, 4)</u>
<u>Part B:</u>
<u>s = 32t</u>
<u>s = 32 * 5 = 160 feet per second</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the cliff = 500 feet
Speed after one second = 32 feet per second
Speed after four seconds = 128 feet per second
2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
3. Use the equation to determine the speed of the rock 5 seconds after is dropped.
s = 32t
s = 32 * 5 = 160 feet per second
