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Chapter 2: Q14P (page 33)
An electron moving along the x axis has a position given by, where tis in seconds. How far is the electron from the origin when it momentarily stops?
The distance traveled by the electron is 5.9 m.
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A bolt is dropped from a bridge under construction, falling 90 mto the valley below the bridge. (a) In how much time does it pass through the last 20%of its fall? What is its speed? (b) When it begins the last20% of its fall. (c) When it reaches the valley beneath the bridge?
In , at Jubbulpore, India, a tug-of-war was finally won after role="math" localid="1654754892705" , with the winning team displacing the center of the rope . In centimeters per minute, what was the magnitude of the average velocity of that center point during the contest?
The position of a particle moving along x axis is given in cm by , where t is in seconds. Calculate (a) the average velocity during time interval t=2 stot=3 s; (b) the instantaneous velocity att=2 s; (c) the instantaneous velocity at t=3s; (d) the instantaneous velocity at t=2.5 s; (e) the instantaneous velocity when the particle is midway between its positions at t=2 sand t=3 s(f) Graph x vs. tand indicate your answers graphically.
The position of a particle as it moves along a axis is given by , with in seconds and in centimeters. (a) What is the average velocity of the particle between and ? (b) What is the instantaneous velocity of the particle at ,, and ?? (c) What is the average acceleration of the particle between and ? (d) What is the instantaneous acceleration of the particle at ,, and ?
A stone is dropped into a river from a bridge43.9m above the water. Another stone is thrown vertically down 1.00safter the first is dropped. The stones strike the water at the same time. (a) What is the initial speed of the second stone? (b) Plot velocity versus time on the graph for each stone, taking zero time as the instant the first stone is released.
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