(b) Is the acceleration ever in the same direction as a component of velocity? Answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither \(0º\) nor \(90º\)): (d) Can the speed ever be the same as the initial speed at a time other than at \(t=0\)?ġ4. (c) Can the velocity ever be the same as the initial velocity at a time other than at \(t=0\)? (b) When is the velocity a minimum? A maximum? Answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither 0º nor 90º): If you take two steps of different sizes, can you end up at your starting point? More generally, can two vectors with different magnitudes ever add to zero? Can three or more?ġ3. Explain why it is not possible to add a scalar to a vectorĨ. Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A+B the sum of the lengths of the two steps?ħ. Suppose you take two steps A and B (that is, two nonzero displacements). What other information would he need to get to Sacramento?Ħ. If an airplane pilot is told to fly 123 km in a straight line to get from San Francisco to Sacramento, explain why he could end up anywhere on the circle shown in Figure. What is the final displacement of each camper?ĥ. The total distance traveled along Path 1 is 7.5 km, and that along Path 2 is 8.2 km. Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. What do vectors and scalars have in common? How do they differ?Ĥ. Give a specific example of a vector, stating its magnitude, units, and direction.ģ. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, the acceleration of gravity?Ģ. Which of the following is a vector: a person’s height, the altitude on Mt. \)ģ.2: Vector Addition and Subtraction: Graphical Methodsġ.
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