Problem 3
Explain (a) Is the distance on a round-trip positive, negative, or zero? (b) Is the displacement on a round-trip positive, negative, or zero?
Problem 3
Gexplain (a) Is the distance on a round-trip positive, negative, or zero? (b) Is the displacement on a round-trip positive, negative, or zero?
Problem 4
Identify Does an odometer in a car measure distance or displacement? Explain.
Problem 5
Analyze Is it possible for you to take a hike and have the distance you cover be equal to the magnitude of your displacement? If yes, give an example to justify your answer.
Problem 6
Analyze You and your dog go for a walk to a nearby park. On the way your dog takes many short side trips to chase squirrels, examine fire hydrants, and so on. (a) When you arrive at the park, do you and your dog have the same displacement? Explain. (b) Have you and your dog traveled the same distance? Explain.
Problem 7
Calculate A golfer putts on the eighteenth green at a distance of \(5.0 \mathrm{~m}\) from the hole. The ball rolls straight, in the positive direction, but overshoots the hole by \(1.2 \mathrm{~m}\). The golfer then putts back to the hole and sinks the putt for par. (a) What is the distance traveled by the ball? (b) What is the displacement of the ball?
Problem 8
Calculate A billiard ball travels \(22 \mathrm{~cm}\) in the positive direction, hits the cushion and rebounds in the negative direction, and finally comes to rest \(7.5 \mathrm{~cm}\) behind its original position. (a) What is the distance covered by the ball? (b) What is the displacement of the ball?
Problem 9
Think \& Calculate A train on a straight track goes in the positive direction for \(5.9 \mathrm{~km}\), and then backs up for \(3.8 \mathrm{~km}\). (a) Is the distance covered by the train greater than, less than, or equal to its displacement? Explain. (b) What is the distance covered by the train? (c) What is the train's displacement?
Problem 10
Follow-up Suppose the kingfisher dives with an average speed of \(4.6 \mathrm{~m} / \mathrm{s}\) for \(1.4 \mathrm{~s}\) before hitting the water. What was the height from which the bird dove?
Problem 11
It was a dark and stormy night, when suddenly you saw a flash of lightning. Three-and-a-half seconds later you heard the thunder. Given that the speed of sound in air is \(340 \mathrm{~m} / \mathrm{s}\), how far away did the lightning bolt strike? Give your answer in both meters and kilometers.
