Late night sanity check (Average Acceleration)

In summary, the problem involves finding the average acceleration of a car between t=0 and t=5.00s, given its velocity function vx(t) = a + bt2. The values of a=3.00m/s and b=0.100m/s3 are given. After plugging in the numbers and attempting the solution, it was discovered that the initial velocity was being neglected. The correct solution is 1.1m/s.
  • #1
DrummingAtom
659
2

Homework Statement


A car's velocity as a function of time is given by vx(t) = a + bt2, where a=3.00m/s and b=0.100m/s3. Calculate the average acceleration from interval t=0 to t=5.00s.


Homework Equations


Ave Acceleration = v2-v1/t2-t1



The Attempt at a Solution


After plugging in the numbers it's:

(3+0.1t2)/5-0 =

1.1m/s

Which after 2 attempts online it's wrong. I even tried it with 1.10 to see if it picks up sig figs, but it's still wrong. Does it have something to do with m/s3?

Thanks.
 
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  • #2
Wow, that's embarrassing. After reading it over, I just realized that I was neglecting the v1 because it was at 0. Even though the "a" still have a value. Ahhh, got to love the late nights.
 

1. What is the definition of average acceleration?

Average acceleration is the rate of change of velocity over a period of time. It is calculated by dividing the change in velocity by the change in time.

2. How is average acceleration different from instantaneous acceleration?

Average acceleration takes into account the overall change in velocity over a period of time, while instantaneous acceleration refers to the acceleration at a specific moment in time.

3. How is average acceleration calculated?

Average acceleration is calculated by dividing the change in velocity by the change in time. The formula is: average acceleration = (final velocity - initial velocity) / time.

4. Can average acceleration be negative?

Yes, average acceleration can be negative. This indicates that the object is decelerating or slowing down.

5. What is the unit of measurement for average acceleration?

The unit of measurement for average acceleration is meters per second squared (m/s²) in the SI system and feet per second squared (ft/s²) in the imperial system.

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