Chapter 3 - Vectors and Coordinates Systems - Exercises and Problems - Page 78: 34

(a) $\theta = 33.6^{\circ}$ (b) $v_y = 1.7~m/s$

(a) $v_x = v~cos(\theta)$ $cos(\theta) = \frac{v_x}{v}$ $\theta = arccos(\frac{2.5~m/s}{3.0~m/s})$ $\theta = 33.6^{\circ}$ (b) $v_y = v~sin(\theta)$ $v_y = (3.0~m/s)~sin(33.6^{\circ})$ $v_y = 1.7~m/s$