Rachel's crew is finally successful in shooting the firework. They shoot it to its maximum height in 7 seconds and it explodes sending fragments scattering in horizontal directions all around at a speed of 20 meters per second. In answering the questions below, assume that air drag is negligible, At the end of 7 seconds how far in a horizontal direction will the fragments scattered? What will be the acceleration of the fragments as they fall vertically? Assuming that they all fall from the same maximum height, how long will it take the fragments to hit the ground?

Question

Rachel's crew is finally successful in shooting the firework. They shoot it to its maximum height in 7 seconds and it explodes sending fragments scattering in horizontal directions all around at a speed of 20 meters per second. In answering the questions below, assume that air drag is negligible, At the end of 7 seconds how far in a horizontal direction will the fragments scattered? What will be the acceleration of the fragments as they fall vertically? Assuming that they all fall from the same maximum height, how long will it take the fragments to hit the ground?

Answer 1

To find out how far the fragments will scatter horizontally at the end of 7 seconds, we need to calculate the horizontal distance they travel.

Since there is no air drag, the horizontal motion of the fragments is unaffected. The horizontal distance covered by an object in motion can be calculated using the formula:

distance = speed × time

Here, the speed of the fragments is given as 20 meters per second, and the time is 7 seconds. Plugging those values into the formula, we get:

distance = 20 m/s × 7 s = 140 meters

Therefore, the fragments will scatter and cover a horizontal distance of 140 meters at the end of 7 seconds.

Now, let's move on to the vertical motion of the fragments.

Since the fragments are in free fall and the only force acting on them is gravity, they will experience a constant acceleration downwards. The acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).

So, the acceleration of the fragments as they fall vertically is 9.8 m/s².

Finally, let's calculate how long it takes for the fragments to hit the ground assuming they all fall from the same maximum height.

To determine the time it takes for an object to fall from a certain height, we can use the equation of motion:

distance = (1/2) × acceleration × time^2

In this case, the distance is the maximum height from which the fragments were launched, which is not provided in the given information. Therefore, without the maximum height value, we cannot determine the exact time it will take for the fragments to hit the ground using this equation.