What is the direction of a vector with an x component of -12 m and a y component of 21 m?

Explanation:

Displacement Vector

The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.

If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:

The coordinates of the given vector are x=-12 m, y=21 m, thus:

Since the vector lies in the second quadrant, we add 180° to find the correct direction:

the speed of the cart after 3 seconds of low fan speed is ⇒ 54.0 cm/s.

the speed of the cart after 5 seconds of medium fan speed is ⇒ 120.0 cm/s.

the speed of the cart after 2 seconds of high fan speed is ⇒ 64.0 cm/s. 

just did the lab.