Chapter 4, Problem 40A

Calculate the vertical distance an Object dropped from rest would cover in 12 seconds if it fell freely without air resistance.

To determine

The vertical distance covered in $12\text{}\text{s}$ if it falls freely from rest.

Answer to Problem 40A

  $720\text{m}$

Explanation of Solution

Given:

The considered time for which object is falling freely, $t=12\text{s}$ .

Formula used:

The distance covered in free fall in a time $t$ is given by,

  $d=\frac{1}{2}a{t}^2$

where, $a=g=10{\text{m/s}}^{\text{2}}$ = acceleration of free fall

Calculation:

Using the above-mentioned formula and given value, the vertical distance covered in $12\text{s}$ when it is falling freely will be,

  $\begin{array}{c}d=\frac{1}{2}\left(10\right){\left(12\right)}^2\\ =720\text{m}\end{array}$

Conclusion:

Hence, the vertical distance covered in $12\text{s}$ is $720\text{m}$ .