Answer:
<em>The horizontal component of the velocity is 49.85 m/s.</em>
Explanation:
<u>Rectangular Components of a Vector</u>
A 2D vector can be expressed in several forms. The rectangular form gives its two components, one for each axis (x,y). The polar form gives the components as the pair (r,θ) being r the magnitude and θ the angle.
When the magnitude and angle of the vector are given, the rectangular components are calculated as follows:
Where v is the magnitude of the vector and θ is the angle with respect to the x positive direction.
The cart is moving at v=55 m/s at θ=25°, thus:
The horizontal component of the velocity is 49.85 m/s.