A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x = -3 ft is v = 5 ft/sec, determine the velocity v when x = 10 ft. a, ft/sec² 19

A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x = -3 ft is v = 5 ft/sec, determine the velocity v when x = 10 ft. a, ft/sec² 19

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

Calculate
-3
-6
10 ft
e_3 ft
Answer:
10 ft
1₂0
-3 ft
a dx.
a, ft/sec²
19
0
0
a dx = i
x, ft
1
5
7
10
ft²/sec²

A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the
particle at the position x = -3 ft is v= 5 ft/sec, determine the velocity v when x = 10 ft.
a, ft/sec²
19
A
5
x, ft
-3
-6
7
10

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Step 1: Given data

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Step 2: Calculating the lengths from geometry

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Step 3: Calculating the velocity at x = 10 ft

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Follow-up Questions

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Follow-up Question

Calculate
-3
T
-6
Answer:
10 ft
-3 ft
10 ft
-3 ft
a dx.
a, ft/sec²
19
a dx =
0
0
i
x, ft
14.31
5
1
1
7
10
ft²/sec²

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