Components of Motion
o
1. A golf ball is hit with an initial speed of 35 m/s at an angle of 37 above the horizontal. What are the initial
horizontal and vertical components?
28 m/s, 21 m/s
2
2
2. The x and y components of an acceleration vector are 3.0 m/s and 4.0 m/s , respectively. What are the
2
o
magnitude and direction of the acceleration vector?
5.0 m/s , 53 above the +x axis
3. If the magnitude of a velocity vector is 7.0m/s and the x component is +3.0m/s, what are the possible values of
its y component?
±6.3 m/s
o
4. The x component of a velocity that has an angle of 37 to the +x axis has a magnitude of 4.8m/s. (a) What is the
magnitude of the velocity? (b) What is the magnitude of the y component of the velocity?
(a) 6.0 m/s (b)
3.6 m/s
5. A student strolls diagonally across a level rectangular campus plaza, covering the 50-meter distance in 1.0 min.
o
(a) If the diagonal route makes 37 angle with the long side of the plaza, what would be the distance if she walked
half way around the outside of the plaza instead of along the diagonal route? (b) If she walked the outside route in
1.0 min at a constant speed, how much time in minutes would she speed on each leg? (a) 70 m (b) 0.57 min,
0.43 min
o
th
6. A ball rolls with a constant velocity of 1.50m/s at an angle of 45 below the +x axis in the 4 quadrant. Taking
the ball to be at the origin at t = 0, what are its (x, y) coordinates 1.65 s later? x = 1.75 m; y = -1.75 m
o
7. A small plane takes off with a constant velocity of 150 km/h at an angle of 37 . In 3.00 s, (a) how high is the
plane above the ground, and (b) what horizontal distance has it traveled from the lift-off point? (a) 75.2 m (b)
99.8 m
8. A particle moves with a speed of 2.5 m/s in the +x direction. Upon reaching the origin, it receives a continuous
2
constant acceleration of 0.75 m/s in the –y direction. What is the position of the particle 4.0 s later? (x, y) = (10
m, -6.0 m)
o
9. An automobile travels 800 m with a constant speed of 60 km/h along a straight highway that is inclined 15 to
the horizontal. An observer notes only the vertical motion of the car. What is (a) the magnitude of the car’s vertical
2
velocity and (b) the vertical travel distance?
(a) 4.3 m/s (b) 2.1 X 10 m