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.
wtf does that mean bro, we are stupid so we search the internet for answers, but idek wth that is man cmon
ok it bleeps out the bad stuff. i said what does that mean, and we are so um. we are bad in the head so we use the internet
3a. V^2 = Vo^2 + 2g*h = 0.
h = -Vo^2/2g + 70 = 422 Ft = Ht. above gnd.
V = Vo + g*Tr = 0.
150 - 32*Tr = 0.
32Tr = 150.
Tr = 4.7 s. = Rise time or time to reach max. ht.
b. h = 0.5g*Tf^2 = 422.
16Tf^2 = 422.
Tf^2 = 26.375.
Tf = 5.14 s. = Fall time.
Tr+Tf = 4.7 + 5.14 = 9.84 s. = Time to reach gnd.
c. Use the given Eq to calculate the ht. at the points shown.
h = 70 + Vo*t + 0.5g*t^2.
(T, h)
(0,70)
(1, 204)
(2. h)
(3, h)
(4, h)
(4.7,422), max ht.
(5,420)
(6, h)
(7, h)
(8, h)
(9, h)
(9.84,0).
To make a table showing the height of the firework at different times until it hits the ground, you can follow these steps:
1. Determine the initial conditions: In this case, the initial height is 70ft and the initial upward velocity is 150 ft/sec.
2. Determine the equation for the height of the firework at any given time (t):
The equation for the height (h) of an object in free fall is given by: h = h0 + v0t + (1/2)gt^2, where h0 is the initial height, v0 is the initial velocity, g is the acceleration due to gravity (-32ft/s^2), and t is the time.
3. Calculate the height at different time intervals:
Create a table with two columns: "Time (t)" and "Height (h)".
- Start with t = 0 and calculate the corresponding height by substituting the values into the equation. In this case, h0 = 70ft, v0 = 150ft/s, g = -32ft/s^2, and t = 0. Substitute these values into the equation: h = 70 + 150(0) + (1/2)(-32)(0)^2 = 70ft.
- Let's assume the time intervals are 1-second increments. Calculate the height at each subsequent time interval by substituting the values into the equation.
- Repeat this process until the firework hits the ground. In this case, the firework will hit the ground when the height (h) becomes zero.
Here is an example of a table showing the height of the firework at each 1-second interval:
Time (t) | Height (h)
--------------------
0 | 70ft
1 | (calculate using the equation)
2 | (calculate using the equation)
3 | (calculate using the equation)
... | ...
9.28 | 0ft (when it hits the ground)
You can continue calculating the height at each subsequent time interval until the firework hits the ground (when the height becomes zero).