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Chapter 1: Q8CP (page 15)
At 10:00 AM you are at the locationm. By 10:02 AM you have walked to locationm. (a) What is , the change in your position? (b) What is , the time interval during which your position changed?
(a) Change in position is m
(b) Time interval is localid="1653483524995"
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(a) Powerful sports car can go from zero to 25m/s (about 60mi/h) in 5 s. (1) What is the magnitude of average acceleration? (2) How does this compare with the acceleration of a rock falling near the Earth鈥檚 surface? (b) Suppose the position of an object at time tis . (1) what is the instantaneous velocity at time t? (2) What is the instantaneous acceleration at time t? (3) What is the instantaneous velocity at time t=0? (4) What is the instantaneous acceleration at time t=0?
(a) Which of the following do you see moving with constant velocity? (1) A ship sailing northeast at a speed of 5 meters per second (2) The Moon orbiting the Earth (3) A tennis ball traveling across the court after having been hit by a tennis racket (4) A can of soda sitting on a table (5) A person riding on a Ferris wheel that is turning at a constant rate. (b) In which of the following situations is there observational evidence for significant interaction between two objects? How can you tell? (1) A ball bounces off a wall with no change in speed. (2) A baseball that was hit by a batter flies toward the outfield. (3) A communications satellite orbits the Earth. (4) A space probe travels at constant speed toward a distant star. (5) A charged particle leaves a curving track in a particle detector.
Consider the vectors and represented by arrows in Figure 1.20. Are these two vectors equal? (b) If ,and , what is the unit vector in the direction of ?
Figure 1.20
In Figure , the vector points to the location of object 1 and points to the location of object 2 . Both vectors lie in the plane. (a) Calculate the position of object 2 relative to object 1 , as a relative position vector. (b) Calculate the position of object 1 relative to object 2 , as a relative position vector.
You jog at a steady speed of 2 m/s. You start from the location and for the first 200 s your direction is given by the unit vector . Next you jog for 300 s in the direction given by the unit vector . Finally you jog for 150s in the direction given by the unit vector . (a) Now what is your position? (b) What was your average velocity?
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