Chapter 3, Problem 44R

To determine

The object that fell with greatest average speed if all the objects fell from the same distance.

Explanation of Solution

Introduction:

The average velocity depends on the initial and final velocity. During the fall, the initial velocity will always zero. So, the average velocity will depend on the final velocity.

The expression to calculate the final velocity of an object when it falls is,

  $v=u+gt$

Here,

• $u$ is the initial velocity of the object.
• $v$ is the final velocity of the object.
• $g$ is the gravitational strength.
• $t$ is time.

Calculation:

Substitute the given values in the above equation.

  $\begin{array}{l}v=0+gt\\ v=gt\\ v\propto t\end{array}$

From the above, it is clear that the velocity directly depends on the time. Therefore, the object falling with greatest average speed will take less time to fall.

Conclusion:

Hence, theobject C will fall with greatest average speed.