Calculating Velocity of a Billiard Ball Hit by a Pool Cue Stick

The Concept of Velocity:

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It includes both the speed of an object and its direction of travel. Velocity is essential in physics, particularly when analyzing motion and dynamics.

Calculating Velocity:

Acceleration can be calculated using the equation F = ma, where F is force, m is mass, and a is acceleration. In this case, the force applied by the cue stick is 57 N, and the mass of the billiard ball is 3 kg.

So, acceleration (a) = F/m = 57 N / 3 kg = 19 m/s^2

Once we have the acceleration, we can use the formula for velocity:

v = u + at, where: v = final velocity (what we are trying to find) u = initial velocity (assumed to be at rest, so u = 0) a = acceleration (calculated above) t = time = 1 second

Plugging in the values:

v = 0 + 19 * 1 = 19 m/s

Therefore, the billiard ball's velocity after being hit by the pool cue stick is 19 m/s.

It's important to note that velocity is not just about speed but also involves direction, making it a vector quantity. In this case, the direction of the billiard ball's movement would be determined by additional information not provided in the given data.