Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Explanation:
1) I will start by showing the table in an easy way to read and understand:
Time (seconds) Height (feet)
0 144
1 128
2 80
3 0
2) Rate of change
- An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.
- The rate of change is calculated for every pair of consecutive points using this equation:
rate of change = [change in height] / [time elapsed]
a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.
b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second
c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.
The rate of change is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Input Data :
Point 1 ( x A , y A ) = (-6, -2)
Point 2 ( x B , y B ) = (1, -6)
Objective :
Find the distance between two given points on a line.
Formula :
Distance between two points = √ ( x B − x A )2 + ( y B − y A ) 2
Solution :
Distance between two points = √ ( 1 - -6 ) 2 + ( − 6 − − 2 ) 2
= √ 7 2 + ( − 4 ) 2
= √ 49 + 16
= √ 65 = 8.0623
Distance between points (-6, -2) and (1, -6) is 8.0623
Or 8!!
Best of luck!!
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Answer:
60 degrees
Step-by-step explanation:
1+<2=180
<1+120=180
<1=180-120
<1=60
