If you launch the firework that does not explode, but instead lands after 9.572 seconds make a table for the situation so that it shows the height from time t= 0 until it hits the ground.
To create a table showing the height of the firework at different times, we need to consider the motion of the firework as it falls towards the ground. Assuming no air resistance, the height can be calculated using the equation:
h = h0 - (1/2)gt²
Where:
h0 is the initial height
g is the acceleration due to gravity (approximately 9.8 m/s²)
t is the time elapsed
Let's assume that the firework starts at an initial height of 100 meters (h0 = 100m). We can then calculate the height of the firework at different time intervals until it hits the ground.
Time (s) | Height (m)
---------|-----------
0 | 100
1 |
2 |
3 |
4 |
5 |
6 |
... |
9.572 |
To fill in the table, we substitute the given time values into the height equation:
Time (s) | Height (m)
---------|-----------
0 | 100
1 | 92.9
2 | 80.4
3 | 62.5
4 | 39.2
5 | 10.5
6 | -15.6
... |
9.572 | 0
Note: The negative height values indicate that the firework has hit the ground.