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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Determine the distance a ball rolls, on inclined plane 2 , during each of the following time intervals.

a. 1st second: t = 0 to t = 1 second

b. 2nd second: t = 1 to t = 2 seconds

c. 3rd second: t = 2 to t = 3 seconds

d. 4th second: t = 3 to t = 4 seconds

e. 5th second: t = 4 to t = 5 seconds

(a)

To determine

The distance a ball rolls in the interval t=0 to t=1 seconds.

Explanation

Given Information:

At t=0,  d=0

At t=1,d=6.5

Concept used:

To determine the distance a ball rolls in the interval t=1to t=2 seconds, find the distance it rolls in 2 seconds and from this distance subtract the distance it rolls in 1 second.

Calculation:

To find the distance, d traveled in 1st second; subtract the distance traveled in 0 seconds from that in the 1 second.

At t=1 the distance is d=6

(b)

To determine

The distance a ball rolls in the interval t=1 to t=2 seconds.

(C)

To determine

The distance a ball rolls in the interval t=2 to t=3 seconds.

(d)

To determine

The distance a ball rolls in the interval t=3 to t=4 seconds.

(e)

To determine

The distance a ball rolls in the interval t=4 to t=5 seconds.

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