A ball is attached to the moving end of the 5-meter arm of a pendulum. The pendulum swings through a 90 degree arc once. How far in meters, does the ball travel?

(pi/2) * R, where R = 5 meters

That is 1/4 of the circumference of a circle with radius R

1/4 divided by 3.14 x 10 is 7.9 meters

To find out how far the ball travels on the pendulum, we need to understand how the distance is related to the angle of swing.

In a pendulum, the distance traveled by the ball can be approximated using the arc length formula:

s = rθ

Where:
s is the distance traveled by the ball
r is the radius, which is the length of the pendulum's arm
θ is the angle of swing in radians

Given that the pendulum swings through a 90 degree arc, we need to convert this angle to radians since the formula requires angles in radians.

To convert degrees to radians, we use the following formula:

radians = degrees * (π/180)

Now let's calculate the angle in radians:

θ = 90 * (π/180) = π/2

Substituting the values into the arc length formula:

s = 5 * (π/2) = (5π)/2

Therefore, the ball travels approximately (5π)/2 meters.