LT72884 said:
ok, so the equation would be T= D(A) or Time = Distance multiplied by (Acceleration) where acceleration is Force divided by Mas. in our case 32FPS
T = 5820(32) = A big eh number
Nope. Distance = velocity multiplied by time, or d = V x t
There is more than one way to get to the answer but you have to keep the basic relationships straight. Practice writing the basics in different ways as you did in algebra so you can move anyone of the variables to the left side, like this:
d = V x t
t = d/V
V = d/t
LT72884 said:
Im lost on your equations at the top. Sorry.
Thanx
You'll use this equation in first year.
Being able to put together known relationships to produce usable equations is an important part of understanding how physics works. Whenever I start to get lost, I take the equation apart and try to figure out why each part is in the equation. Also, putting the units in helps me see if I have accounted for each part of the equation. Finally, putting some numbers into check tells me if I'm doing things right.
Let's do that with d= 1/2at^2.
The question that you asked involves distance, time and acceleration. Fairly simple concepts by themselves. Here are the two major parts of what you need to figure out the answer to your question:
1. To find the average speed, you take the initial speed and the final speed and divide by two.
(V1 + V2)/2 = V average
2. To find the distance traveled at a certain speed, you multiply the average speed by the time spent at the speed.
V average x time = distance
Now let's add some units and some arbitrary numbers and do a test equation. Let's say that we start at zero and accelerate at 2 m/s every second (or 2m/s^2) for 10 seconds. Based on that, we get up to 20 m/s. So how far did we travel during that 10 seconds?
First equation:
(0 m/s + 20 m/s)/2 = average speed of 10 m/s
Second equation:
10 m/s x 10 seconds = 100 m
According to this, we travel 100 m. Now instead of using two equations, let's use the equation at the top of the page to compare.
d = 1/2 at^2
d = 1/2 (2 m/s^2 times 10 seconds squared)
d = 1/2 (2 m/s^2 times 100 s^2)
d = (200 m)/2
d = 100 m
Hey, same answer! The equation works!
If you write it for yourself (and you should when going through the same steps that I did here), you'll see how the time units cancel out and leave only metres, which of course is distance.
Let me know when you've worked through this example.