Answers:
Distance = 14 km
Displacement = 4 km east
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Explanation:
The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.
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The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.
Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south
The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.
See the diagram below for a visual.
Answer:
∫ =
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let
Differentiate both sides with respect to
[use ]
So,
∫ = ∫
=
where
is a variable.
(Use ∫ )
Put
∫ =
Use
So,
∫ =
where
Without using substitution:
∫ = ∫
=
So, same answer is obtained in both the cases.