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Chapter 1: Q1E (page 58)
A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is . How far does the car travel in 4.00 s?
The displacement done by the car in 4.00s is,
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An astronaut has left the International Space Station to test a new space scooter.
Her partner measures the following velocity changes, each taking place in a interval.
What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?
Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at , and at the end of the interval she is moving toward the right at .
(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" , and at the end she is moving toward the left at .
(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" .
On a training flight, a student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St. Joseph, Missouri, and then to Manhattan, Kansas
(Fig. P1.66). The directions are shown relative to north: is north, is east, is south, and is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lincoln, and (b) the direction (relative to north) she must fly to get there. Illustrate your solutions with a vector diagram.
A rather ordinary middle-aged man is in the hospitalfor a routine checkup. The nurse writes 鈥�200鈥� on the patient鈥檚medical chart but forgets to include the units. Which of these quantities could the 200 plausibly represent? The patient鈥檚 (a) mass in kilograms; (b) height in meters; (c) height in centimeters;(d) height in millimeters; (e) age in months
One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun in early 1996. The orbital period of this comet is estimated to be about 30,000 years. Find the semi-major axis of this comet鈥檚 orbit. Compare it to the average sun鈥揚luto distance and to the distance to Alpha Centauri, the nearest star to the sun, which is 4.3 light-years distant.
A rocket starts from rest and moves upward from the surface of the earth. For the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = (2.80 m/s3) t, where the +y-direction is upward. (a) What is the height of the rocket above the surface of the earth at t = 10.0 s? (b) What is the speed of the rocket when it is 325 m above the surface of the earth?
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