4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d ( 1 5 20 3 45 4 80 5 125 a. Is the relationship between time and distance an arithmetic sequence? Explain, b. The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt', where g is constant at 10 m/s. Show, in terms of n, the distance a falling body covers in t=n seconds of movement, c. Show, in terms of n, the distance a falling body covers in t=n-1 seconds of movement.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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4. The chart below represents the kinematics of a freely falling body.
Time
(seconds t)
Total Distance
meters d (
1
5
20
3
45
4
80
5
125
a. Is the relationship between time and distance an arithmetic sequence?
Explain,
b. The total distance a freely falling body covers in time, t, is given by the
equation d(t)=1/2 gt', where g is constant at 10 m/s. Show, in terms of n,
the distance a falling body covers in t=n seconds of movement,
c. Show, in terms of n, the distance a falling body covers in t=n-1 seconds
of movement.
Transcribed Image Text:4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d ( 1 5 20 3 45 4 80 5 125 a. Is the relationship between time and distance an arithmetic sequence? Explain, b. The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt', where g is constant at 10 m/s. Show, in terms of n, the distance a falling body covers in t=n seconds of movement, c. Show, in terms of n, the distance a falling body covers in t=n-1 seconds of movement.
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