You throw a basketball from a cliff to the ground. The ball has an initial velocity of 12 m/s in the horizontal direction. After 3.0 seconds, the ball has a velocity of -30.0 m/s in the y-direction. What is the direction of motion of the ball at time t= 3.0 s? (Hint: direction is related to the angle).

The direction of motion of the ball is approximately 68.199º below the +x semiaxis.

Explanation:

The ball has a two-dimension motion, to be exact, a parabolical motion, that is, a motion at constant velocity in the x-direction and free fall motion in the y-motion. Hence, the horizontal velocity of the basketball is 12 meters per second and its direction (), in sexagesimal degrees, is calculated by this trigonometrical expression:

(1)

Where:

- Horizontal velocity, in meters per second.

- Vertical velocity, in meters per second.

If we know that and , then the direction of motion of the ball is:

(below the +x semiaxis)

The direction of motion of the ball is approximately 68.199º below the +x semiaxis.

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.