## College Physics (7th Edition)

(a) For $\theta<45^{\circ}$, the horizontal component is greater than the vertical component. (b) For $\theta=37^{\circ}$, the horizontal component is $27.95\,\mathrm{m/s}$ and the vertical component is $21.06\,\mathrm{m/s}$.
A velocity $v$ directed at an angle $\theta$ above horizontal has the components - $v_x=v\cos\theta$ $v_y=v\sin\theta$. (a) For $\theta<45^{\circ}$, $\cos\theta>\sin\theta$. Thus, the horizontal velocity component is greater than the vertical velocity component. (b) For $\theta=37^{\circ}$, initial velocity components - $v_x=35\cos37^{\circ}=27.95\,\mathrm{m/s}$ $v_y=35\sin37^{\circ}=21.06\,\mathrm{m/s}$.