Question

I have designed a new automobile. It's super fast, and shaped like a gall blader. It is able to accelerate from 12 mph to 55 mph in precisely 35 seconds. Assuming constant acceleration, find the following:
a) The acceleration in meters per second.
b)The distance traveled by the car during those extreme 35 seconds.

Answer 1

hey, how's it going?

Answer 2

Crappy on this problem...I'm completely stuck. I don't even know where to begin.

Answer 3

is it meters per second or miles per hour?

Answer 4

Letter a asks for meters per second per second...so I'm guessing per second squared? The actual speeds, mph in a matter of seconds. That's what I'm extremely confused on.

Answer 5

mph in a matter of seconds?

Answer 6

what units are the speeds they give you? miles per hour?

Answer 7

The speeds are given in the units of miles per hour.

Answer 8

that's a bummer. you're sure, right? and they don't give you some kind of conversion?

Answer 9

It just tells me that it goes from 12-55 mph in 35 seconds. Then it says to find the acceleration in meters per second per second. I'm assuming that it expects us to convert on our own, but I'm not exactly sure how.

Answer 10

ok well here's a good trick for that

Answer 11

you want to get from miles per hour to meters per second

Answer 12

right...

Answer 13

what you do is miles/hour * (hour/3600 seconds)

Answer 14

since you can always multiply by 1, that way you get rid of the hours in the denominator

Answer 15

so then you multiply by ( x meters / miles) and hopefully you can figure out how many meters in a mile so i don't have to do it

Answer 16

Do you eliminate mph by doing...12mi/h*h/3600sec?

Answer 17

then multiply by x meters / miles whatever x is from the conversion

Answer 18

This is what I did...12mi/hr*hr/3600 sec=12mi/3600sec*1609.344m/mi=12 1609.344m/3600sec...is this correct?

Answer 19

Then you should simplify and get 1397meters/3125 sec