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Chapter 2: Problem 46
You can run \(9.0 \mathrm{m} / \mathrm{s}, 20 \%\) faster than your brother. How much head start should you give him in order to have a tie race over \(100 \mathrm{m} ?\)
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In a medical X-ray tube, electrons are accelerated to a velocity of \(10^{8} \mathrm{m} / \mathrm{s}\) and then slammed into a tungsten target. As they stop, the electrons' rapid acceleration produces X rays. If the time for an electron to stop is on the order of \(10^{-9} \mathrm{s}\), approximately how far does it move while stopping?
You're driving at \(70 \mathrm{km} / \mathrm{h}\) when you apply constant acceleration to pass another car. Six seconds later, you're doing \(80 \mathrm{km} / \mathrm{h}\). How far did you go in this time?
A falling object travels one-fourth of its total distance in the last second of its fall. From what height was it dropped?
Two divers jump from a 3.00 -m platform. One jumps upward at \(1.80 \mathrm{m} / \mathrm{s},\) and the second steps off the platform as the first passes it on the way down. (a) What are their speeds as they hit the water? (b) Which hits the water first and by how much?
Landing on the Moon, a spacecraft fires its rockets and comes to a complete stop just \(12 \mathrm{m}\) above the lunar surface. It then drops freely to the surface. How long does it take to fall, and what's its impact speed? (Hint: Consult Appendix E.)
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