CHAPTER 0 and 1: Mathematics, Measurements, Vectors
1. What part of vector addition is the most difficult for you to do?

Vector addition can be done graphically by using the graphic “head to tail” method. When a vector is 2D form, the graphic representation of vector addition is easy, since using the Pythagorean theorem and the trigonometric functions to find the magnitude and direction respectively, are straightforward. But when it comes to 3D form, it will be harder to represent and add. That is why it is better to resort to the decomposition of each of the 3D vector to add, in mutually perpendicular components, sum them and then, reverse the process for the resultant vector. Even so, finding its magnitude and direction can be a bit cumbersome.
Apart from that, when a vector is in a complex form, like for example in Electromagnetism, the vector addition might be a bit difficult since lack of awareness of “i” notation for the imaginary part of the vector. So complex vectors are more difficult to add, even in 2D.
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CHAPTER 2: Motion in a Straight Line
1. What is:
a) the furthest distance that you have traveled in your life (m)
b) the fastest velocity that you have moved (m/s), and
c) the largest acceleration that you have experienced (m/s2)

a) The furthest distance in straight line, I have travelled in my life was 3.70 (106) m (3,700 km = 2,299 mile) from Washington to California, by airplane.

b) That was the fastest velocity I have moved. It took 1.4796 (104) s (4.11 hour) to arrive there.
The average plane speed (Vavg) can be calculated dividing the distance by the time: Vavg = 3.70 (106) m/1.4796 (104) s, therefore Vavg = 2.5 (102) m/s (900 km/h = 559 mph). At some moments, I had a higher instantaneous speed, for example when traveling high altitude, and at others, lower instantaneous speed, for example when landing. We are really speaking of speed, no velocity. The direction is given by a unit vector, and what says how fast it was, it is speed, not direction.

85. BIO QC When a gymnast performing on the rings exe- cutes the...