James+Cao

CQ 4a. Yes it is possible for two quantities to have the same dimensions but different units. This is because a dimension refers to the physical nature of a quantity such as length, mass, or time, while there are many different units that represent these dimensions. For example, two quantities can have the dimension of length, but one quantity many have kilometers as it's unit while the other has feet. 4b. It is not possible, however, for two quantities to have the same units they must refer to the same dimensions. This is because a unit such as pounds, can only refer to mass, not length or time. For example, if the two quantities have the units of seconds, they must both refer to the dimension of time.

CQ 18. Each vector is made up of an x and y component. If the vector were to double, with the direction remaining the same, then the magnitude of the x and y component would double. For example a vector with the magnitude of 5 heading 30 degrees north of east would mean that it's x component is 4 and it's y component is 3 due to pythagoreom theorum. When the vector is then doubled, but has the same direction, the magnitude would be ten. Then due to pythygoreom theorum, the x component would be 8 and the y component would be 6 therefore doubling the components of the previous vector.

P 23. The performer walked 9.37 feet across the high wire before falling at an angle of 69.4 degrees.

P 50. The resultant displacement is 1.17cm in a direction of 86.7 degrees north of west.