Question

take x to be to the right and y to be up. a velocity vector is given by (-i v3j) t. what is the direction of the velocity vector. give angle

Answer 1

The direction of the velocity vector is in the fourth quadrant with an angle of arctan(v/v3) with the x-axis.

Step-by-step explanation:

The given velocity vector is (-i v3j) t. Here, i and j are the unit vectors along the x and y axes respectively. So, the velocity vector can be written as V = (-i v3j) t = -v3t i - v t j, where v3 is the magnitude of the velocity.

Since the velocity vector is in the form of -v3t i - v t j, the direction of the vector is in the fourth quadrant. The angle between the vector and the x-axis can be found using trigonometry. In this case, the angle is arctan(v/v3).