Gives the speed v versus time t for a 0.500 kg object of radius 6.00 cm that rolls smoothly down a 30° ramp. The scale on the velocity axis is set by vs = 4.0 m/s. What is the rotational inertia of the object?

Rotational inertia of the object is given as

Explanation:

As we know that the acceleration of the object on inclined plane is given as

now we know that velocity at any instant of time is given as

now we know that if the graph between velocity and time is given then the slope of the graph will be same as acceleration

so here we have

now from the graph slope of the graph is given as

now rotational inertia is given as

d is the correct answer