Answered: Time (seconds t) Total Distance meters…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The chart below represents the kinematics of a freely falling body.

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^2, where g is constant at 10 m/s^2. 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.

Time
(seconds t)
Total Distance
meters d (t)
1
5
2
20
3
45
4
80
5
125

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