Question

Vector V has magnitude |V| = 17.6. It forms an angle of 67.2 degrees with the positive x-axis. Give the magnitude of the horizontal and vertical components of V ( i.e. Vx and Vy).

Answer 1

Vx = 6.82

Vy = 16.22

Explanation:

Since the angle with the positive x-axis is within 0 and 90 degrees, the vector falls in the first quadrant and both the horizontal and vertical components of V are positive. The components are defined by:

`V_x = |V|*cos(67.2)\\V_x = |17.6|*cos(67.2)\\V_x = 6.82\\\\V_y = |V|*sin(67.2)\\V_y = |17.6|*sin(67.2)\\V_y= 16.22`

The horizontal component, Vx = 6.82.

The vertical component, Vy = 16.22.