1. Convert Units:
* Inches to meters: 95 inches * 0.0254 meters/inch = 2.413 meters
* Hundredths of a second to seconds: 56 hundredths of a second = 0.56 seconds
2. Use the Equation:
We can use the following kinematic equation to find the final velocity (speed):
* v = u + at
Where:
* v = final velocity (what we want to find)
* u = initial velocity (0 m/s since the ball is dropped)
* a = acceleration due to gravity (approximately 9.8 m/s²)
* t = time (0.56 seconds)
3. Calculate the Speed:
* v = 0 + (9.8 m/s²)(0.56 s)
* v = 5.488 m/s
Therefore, the speed of the ball when it hits the ground is approximately 5.488 meters per second.