mmh Problem-solving help is available online at www.wiley.com/college/cutnell. Section 2.1 Displacement, Section 2.2 Speed and Velocity 1. ssm The space shuttle travels at a speed of about 7.6 X 10' m/s. The blink of an astronaut's eye lasts about 110 ms. How many football fields (length = 91.4 m) does the shuttle cover in the blink of an eye? 2. Go For each of the three pairs of positions listed in the following table, determine the magnitude and direction (positive or negative) of the displacement. Initial position Xo Final position x (a) +2.0 n +6.0 m (b) +6.0 m +2.0 m ( c) -3.0 m +7.0 m 3. ssm Due to continental drift, the North American and European con- tinents are drifting apart at an average speed of about 3 cm per year. At this speed, how long (in years) will it take for them to drift apart by an- other 1500 m (a little less than a mile)? 4. You step onto a hot beach with your bare feet. A nerve impulse, generated in your foot, travels through your nervous system at an average speed of 110 m/s. How much time does it take for the impulse, which travels a distance of 1.8 m, to reach your brain?* 12. @w A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 27 m/s, and the average southward velocity has a magni- tude of 17 m/s. What is the average velocity (magnitude and direction) for the entire trip?17. ssm A motorcycle has a constant acceleration of 2.5 m/s'. Both the velocity and acceleration of the motorcycle point in the same direction. How much time is required for the motorcycle to change its speed from (a) 21 to 31 m/s, and (b) 51 to 61 m/s?25. ssm A jogger accelerates from rest to 3.0 m/s in 2.0 s. A car accel- crates from 38.0 to 41.0 m/s also in 2.0 s. (a) Find the acceleration (magnitude only) of the jogger. (b) Determine the acceleration (magni- tude only) of the car. (c) Does the car travel farther than the jogger dur- ing the 2.0 s? If so, how much farther?28. (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a speed of 8.0 m/s when going down a slope for 5.0 s? (b) How far does the skier travel in this time?53. sam From her bedroom window a girl drops a water-filled balloon to the ground, 6.0 m below. If the balloon is released from rest, how long is it in the air?13. ssm A volleyball is spiked so that it has an initial velocity of 15 m/s directed downward at an angle of 550 below the horizontal. What is the horizontal component of the ball's velocity when the opposing player fields the ball?17. ssm A spider crawling across a table leaps onto a magazine block- ing its path. The initial velocity of the spider is 0.870 m/s at an angle of 35.0 above the table, and it lands on the magazine 0.0770 s after leave ing the table. Ignore air resistance. How thick is the magazine? Express your answer in millimeters