An amusement park ride called the Detonator accelerates passengers straight downward from rest to a speed of 45 Mph in 2.2s. What is the average rate of acceleration during this ride?
This question has me bamboozled guys. BAMBOOZLED. The answer is 9.1 M/S² [S] and I don't know how to get to it.
So, here's my thought process:
"accelerates passengers straight downward from rest to a speed of 45 Mph"
That means we have our V1 and our V2.
V1 = 0 Mph
V2 = 45 Mph [S]
"in 2.2s."
So there's our time.
T = 2.2s
"What is the average rate of acceleration during this ride?"
So, we're solving for A then.
V1 = 0 Mph
V2 = 45 Mph [S]
T = 2.2s
A = ?
The first thing I did was try and convert my Mph (Miles per Hour) values to M/S (Metres per Second):
45 Mph x 1 M/S
2.24 Mph =20.08928571 M/S
Round that off to two SigFigs and you've got 20 M/S.
Then, I tried popping this info into the following equation:
V2 - V1
T =A
It looks something like this:
Edit: I know what my problem was. Even though I JUST converted my Mph V2 into M/S, I was still putting the 45 MpH [S] into my formula for acceleration. How do you make that mistake two times ina
row? Ugh. I'm gonna follow through just 'cause.
20 M/S - 0 M/S
2.2S =9.090909091 M/S² [S]
SigFigs & rounding brings the answer to 9.1 M/S² [S] and everything now makes sense. It's my own inconsistency that's causing me problems. As always.
Thanks for taking a look anyway! Mods ban me forever.