Chapter 6, Problem 7STP

To determine

To Choose: The correct option.

Answer to Problem 7STP

The correct option is (d) the two objects will hit the ground at the same time.

Explanation of Solution

Here both objects will hit the ground at the same time. This is because in vertical direction both are subjected to same acceleration due to gravity.

For both orange and bullet.

From the equation of motion

Here vertical distance is $s$

  $\begin{array}{c}s=ut+\frac{1}{2}a{t}^2\\ u=0a=g\\ s=0+\frac{1}{2}g{t}^2\\ s=\frac{1}{2}g{t}^2\\ \Rightarrow t=\sqrt{\frac{2s}{g}}\end{array}$

Hence, which is same for both bullet and orange.

Conclusion:

The correct option is (d) the two objects will hit the ground at the same time.