Acceleration?

Question

Time (seconds) to reach 60 miles per hour

6.8 seconds to reach 60 miles per hour from 0

2. Using the table above, what is the acceleration of the 2002 Acura 3.2CL Type S ( miles per hour squared)? (Points: 10)

55

250

15, 874

31, 764

Answer 1

a-bar = (delta v) / (delta t) = (60 mph - 0mph) / (6.8 sec * hr/3600 sec) = 31764 mi/hr^2

BTW do you own homework.

Answer 2

6.8 s to reach 60 mile/h from 0

= 0.001889 hour to reach 60 mile/h from 0

a = dv/dt = 60mile/h / 0.001889 hour = 31, 764mile/h/h

Answer 3

well, I probably won't be the first answer, but I just want to walk you through the steps.

It went from 0 to 60mph in 6.8 seconds, right? so the acceleration is:

60mph/6.8seconds.

Now, the question wants the answer in mph/h, not mph/s, right?

so you just chage from seconds into hours.  there are 3600 seconds in one hour, so we say

60mph        3600s

---------   X  ----------

6.8s               1hr

do the math, the seconds cancel out, and you get 31,764 mph/hr.

in case you're wondering, mph is miles per hour, or mi/hr. so mi/hr/hr is the same as saying mi/hr^2