Question

Calculate the acceleration of a marble starting from rest and rolling down an incline to a final velocity of 4.0 m/s in 2.0 seconds?

Answer 1

The acceleration of the marble rolling down the incline is 2.0 m/s².

Step-by-step explanation:

To calculate the acceleration of the marble, we can use the kinematic equation:

Final velocity = Initial velocity + (Acceleration * Time)

In this case, the marble starts from rest, so the initial velocity is 0 m/s. The final velocity is given as 4.0 m/s. The time taken is 2.0 seconds.

Plugging these values into the equation:
4.0 m/s = 0 m/s + (Acceleration * 2.0 s)

Simplifying the equation:
4.0 m/s = 2.0 s * Acceleration

Dividing both sides by 2.0 s, we get:
Acceleration = 2.0 m/s²

Therefore, the acceleration of the marble rolling down the incline is 2.0 m/s².