In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.
A. 0.20 m/s
B. 0.56 m/s
C. 1.0 m/s
D. 1.8 m/s

Velocity is defined as a vector measurement of the rate and direction of motion.
It is the speed and direction of motion of a moving body.

How to calculate the magnitude of the final velocity?

Magnitude of the final velocity can be calculated by following steps

The mass of the cue ball given is 0.4kg
The velocity of cue ball given is +0.80m/s
The velocity of striped ball before collision is +0.38 m/s
The velocity of striped ball after collision is +0.62m/s
We need to find the magnitude of the final velocity of the cue ball.

Assuming all pool balls have the same mass : 0.4kg

Let the final velocity of the cue ball be x

Now , To find the final velocity

Mass of the cue ball * initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball * final velocity + mass of striped ball * final velocity of striped ball

(0.40)*(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)

0.32+0.152=0.4x+0.248

0.472=0.4x+0.248

0.472-0.248= 0.4x

0.224/0.4 =x

x = 0.56m/s

Hence the magnitude of the final velocity is 0.56m/s

Learn more about Velocity here

https://brainly.com/question/25749514

#SPJ2