Answer to Question #148801 in Physics for Haneen Younis

Question

The arrow strikes the target with a speed of 45 m / s at an angle of −25 ° with respect to the horizontal. Calculate the horizontal and vertical components of the arrow's final velocity.

Answer 1

The x-component of the velocity vector $\mathbf{v}$ is:

$$v_x = 45\cdot \cos 25\degree \approx 40.78\space m/s$$

The y-component of the velocity vector $\mathbf{v}$ is:

$$v_y = -45\cdot \sin 25\degree \approx -19.02\space m/s$$

Answer. $v_x = 40.78m/s,$ $v_y = -19.02m/s$.