Chapter 3, Problem 2RAT

When the ball rolls down the inclined plane in the previous question, as its speed increases its acceleration

(a) increases.

(b) decreases.

(c) remains unchanged.

To determine

The correct option for the statement " When the ball rolls down the inclined plane in the previous question, as its speed increases its acceleration"

Answer to Problem 2RAT

The correct option for the statement "When the ball rolls down the inclined plane in the previous question, as its speed increases its acceleration" is option (a).

Explanation of Solution

Acceleration is a physical quantity that is vector in nature. It shows variation in speed of an object in a unit of time. The acceleration is zero if the value of velocity remains fixed. If the magnitude of the acceleration is negative, then it is termed as deceleration.

Write the expression for the acceleration.

$a=\frac{△v}{t}$

Here,

$\Delta v$ is the change in velocity.

$t$ is the total time taken.

The above expression shows that the acceleration of any moving object is directly proportional to the change in speed. Thus, the acceleration of the rolling ball is also increased with an increase in its speed.

Conclusion:

Therefore, the correct option for the statement "When the ball rolls down the inclined plane in the previous question, as its speed increases its acceleration" is option (a).