Problems02 - Chapter 2 Problems 1, 2, 3 = straightforward,...

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Chapter 2 Problems 1, 2 , 3 = straightforward, intermediate, challenging Section 2.1 Position, Velocity, and Speed 1. The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last 3 s, and (c) the entire period of observation. t (s) 0 1.0 2.0 3.0 4.0 5.0 x (m) 0 2.3 9.2 20.7 36.8 57.5 2. (a) Sand dunes in a desert move over time as sand is swept up the windward side to settle in the lee side. Such “walking” dunes have been known to walk 20 feet in a year and can travel as much as 100 feet per year in particularly windy times. Calculate the average speed in each case in m/s. (b) Fingernails grow at the rate of drifting continents, on the order of 10 mm/yr. Approximately how long did it take for North America to separate from Europe, a distance of about 3 000 mi? 3 . The position versus time for a certain particle moving along the x axis is shown in Figure P2.3. Find the average velocity in the time intervals (a) 0 to 2 s, (b) 0 to 4 s, (c) 2 s to 4 s, (d) 4 s to 7 s, (e) 0 to 8 s. Figure P2.3 Problems 3 and 9 4. A particle moves according to the equation x = 10 t 2 where x is in meters and t is in seconds. (a) Find the average velocity for the time interval from 2.00 s to 3.00 s. (b) Find the average velocity for the time interval from 2.00 to 2.10 s. 5. A person walks first at a constant speed of 5.00 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.00 m/s. What is (a) her average speed over the entire trip? (b) her average velocity over the entire trip? Section 2.2 Instantaneous Velocity and Speed 6. The position of a particle moving along the x axis varies in time according to the expression x = 3 t 2 , where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + t. (c) Evaluate the limit of x / t as t approaches zero, to find the velocity at t = 3.00 s.
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7 . A position-time graph for a particle moving along the x axis is shown in Figure P2.7. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (c) At what value of t is the velocity zero? Figure P2.7 8 . (a) Use the data in Problem 1 to construct a smooth graph of position versus time. (b) By constructing tangents to the x ( t ) curve, find the instantaneous velocity of the car at several instants. (c) Plot the instantaneous velocity versus time and, from this, determine the average acceleration of the car. (d) What was the initial velocity of the car? 9
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This homework help was uploaded on 04/17/2008 for the course PHYS 1610 taught by Professor Entire during the Spring '08 term at Auburn University.

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Problems02 - Chapter 2 Problems 1, 2, 3 = straightforward,...

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