Chapter 3
1. (p.70 prob.5) Graphically determine the resultant of the following three vector displacements: 91) 24m, 30° north of east; 920 28m, 37° east of north; and (3) 20m, 50° west of south.
2. (p.71 prob.8) Vector V1 is 8.08 units long and points along the negative x axis. Vector V2 is 4.51 units long and points at +45° to the positive x axis. (a) What are the x and y components of each vector? (b) determine the sum of the two vectors (magnitude and angle).
3. (p.71 prob.15) For the vectors shown in Fig. 3-35, determine (a) A - B + C, (b) 2A - 3B + 2C.
4. (p.72 prob.22) Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 8.0m below her window and 9.0m from the base of the wall (Fig. 3-38). How fast are the pebbles going when they hit her window?
5. (p.72 prob.35) A projectile is fired with an initial speed of 75.2m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered (that is, the range), and (d) the velocity of the projectile 1.50s after firing.