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2. 4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d (t) 1. 5. 20 45 3. 125 5. a. Is the relationship between time and distance an arithmetic sequence Explain.

2. 4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d (t) 1. 5. 20 45 3. 125 5. a. Is the relationship between time and distance an arithmetic sequence Explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 16E
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Does the relationship between time and distance and arithmetic is arithmetic sequence? Explain.

 

The total distance a freely falling body covers in time, T, is given by the equation d(T)=1/2 gt2, where the constant at 10 m/s2. Show, In terms of N, the distance a falling body covers and T equals n seconds of movement.

 

Show, in terms of n, the distance a following body covers and T equals N -1 seconds of movement.

 

The distance a freely falling body covers in the nether second is given by s(n)=d(n)-d(n). Show s(n) in terms of g, in simplified form.

 

Prove that the quantities s(n) form an arithmetic sequence.​

2. 4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d (t) 1. 5. 20 45 3. 125 5. a. Is the relationship between time and distance an arithmetic sequence Explain.
Transcribed Image Text:2. 4. The chart below represents the kinematics of a freely falling body. Time (seconds t) Total Distance meters d (t) 1. 5. 20 45 3. 125 5. a. Is the relationship between time and distance an arithmetic sequence Explain.
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