How do you determine the distance and displacement for any given motion?

A car travels 100 meters east and then 50 meters north. What is the magnitude of the resultant displacement of the car? Choose the closest option . (A) 50 meters(B) 100 meters(C) 110 meters(D) 120 meters

A person going for a walk follows the path shown in the figure, where y, is the person's resultant displacement measured from the starting point? = 254 m and 0 = 56.0°. The total trip consists of four straight-line paths. At the end of the walk, what magnitude direction ° counterclockwise from the +x axis Start 100 m End 200 m 30.00 150 m

A person walks in the following pattern: 3.0 km north, then 2.1 km west, and finally 5.2 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?

A velocity can be negative based on your coordinate system. Is it possible to have a negative speed? Why/why not?

Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin? A Joan has run a greater distance and her displacement is greater than Mike's. B Mike has run a greater distance and his displacement is greater than Joan's. (c) Joan has run a greater distance, but her displacement is less than Mike's. Mike has run a greater distance, but his displacement is less than Joan's. E Mike has run a shorter distance, and his displacement is less than Joan's.

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = eti + sin2tj + cos3k, v(0) = i r(0) = j

Please answer the following questions regarding vector and scalar quantities.     Part (a) Which one of the following is a scalar quantity?MultipleChoice   :1) Velocity.2) All of the choices.3) Time.4) None of the choices.5) Acceleration. 6) Displacement. Part (b) What information do vector quantities convey?MultipleChoice   :1) Sign and Direction.2) Direction Only.3) Magnitude and Direction.4) Sign Only.5) Magnitude Only.6) Magnitude and SignPart (c) Which one of the following is a vector quantity?MultipleChoice   :1) Mass.2) All of the choices.3) Displacement.4) None of the choices.5) Temperature. 6) Distance.