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Chapter 1: Q12P (page 39)
What is the magnitude of the vector , where ?
The magnitude of the given vector is 21.54106 m/s .
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(a) 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 ?
Question: A car moves along a straight road. It moves at a speed of 50 km/h for 4 minutes, then during 4 minutes it gradually speeds up to 100 km/h, continues at this speed for 4 minutes, then during 4 minutes gradually slows to a stop. Make a sketch like the figures in Section 1.2, marking dots for the position along the road every minute.
At times=,s, a car is located at m and has velocitym/s. At times, what is the position of the car? (The velocity is constant in magnitude and direction during this time interval.)
Place a ball on a book and walk with the book in uniform motion. Note that you don't really have to do anything to the ball to keep the ball moving with constant velocity (relative to the ground) or to keep the ball at rest (relative to you). Then stop suddenly, or abruptly change your direction or speed. What does Newton's first law of motion predict for the motion of the ball (assuming that the interaction between the ball and the book is small)? Does the ball behave as predicted? It may help to take the point of view of a friend who is standing still, watching you.
A snail moved 80 cm (80 centimeters) in 5 minutes. What was its average speed in SI units? Write out the factors as was done above.
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