Final answer:
To find the final velocity of an object rolling down an incline, you can use the principle of conservation of energy and the equation v = sqrt(2 * g * h), where v is the final velocity, g is the acceleration due to gravity, and h is the height of the incline.
Step-by-step explanation:
When an object is rolling down an incline, the final velocity can be found using the principle of conservation of energy. The total mechanical energy of the object is the sum of its kinetic energy (due to its linear motion) and its rotational kinetic energy.
In this case, since the object starts from rest, its initial kinetic energy is zero. The potential energy the object has at the top of the incline is converted into its final kinetic energy.
The equation to calculate the final velocity of the object is:
v = sqrt(2 * g * h)
Where v is the final velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height of the incline.