I need help making a table
3. One of the fireworks is launched from the top of a 70ft tall building with an initial
upward velocity of 150 ft/sec.
a. What is the equation for this situation? g=-32ft/s^2
b. When will the firework land if it does not explode? 9.28 seconds
c. Make a table for this situation so that it shows the height from time
t = 0 until it hits the ground.
here is the height versus time t
h = 70 + 150 t - 16 t^2
Damon did this for you here:
http://www.jiskha.com/display.cgi?id=1453466988
To make a table that shows the height from time t=0 until the firework hits the ground, we can use a time interval of 1 second and calculate the height at each time point.
Here's how you can create the table:
1. Define the time interval: Let's use a time interval of 1 second, starting from t=0.
2. Calculate the initial height: The firework is launched from the top of a 70ft tall building, so the initial height is 70ft.
3. Calculate the height at each time point: Starting from t=0, we can use the equation for height in freefall motion, which is h = h0 + v0t + (1/2)gt^2. In this case, h0 is the initial height (70ft), v0 is the initial upward velocity (150ft/sec), g is the acceleration due to gravity (-32ft/s^2), and t is the time interval.
- For t=0: the height is 70ft because the firework hasn't moved yet.
- For t=1: plug in the values into the equation: h = 70 + 150(1) + (1/2)(-32)(1)^2 = 188ft.
- Repeat the calculation for each subsequent time point until the height becomes 0.
4. Record the results in a table: Create a table with two columns. The first column represents time (t), and the second column represents height (h). Fill in the values for each time point calculated in step 3.
Here is an example of the table:
| Time (t) | Height (h) |
| ------------ | ------------ |
| 0 | 70 |
| 1 | 188 |
| 2 | 254 |
| 3 | 268 |
| 4 | 230 |
| ... | ... |
| 9.28 | 0 |
Note: The firework will hit the ground after approximately 9.28 seconds, as mentioned in part b of your question.