Late night sanity check (Average Acceleration)

Click For Summary
SUMMARY

The discussion focuses on calculating the average acceleration of a car given its velocity function, vx(t) = a + bt², where a = 3.00 m/s and b = 0.100 m/s³. The average acceleration is derived using the formula Ave Acceleration = (v2 - v1) / (t2 - t1). The user initially miscalculated the average acceleration as 1.1 m/s, failing to account for the initial velocity (v1) at t=0, which is crucial for accurate results.

PREREQUISITES
  • Understanding of kinematics and motion equations
  • Familiarity with calculus concepts, specifically derivatives
  • Knowledge of units of measurement in physics (m/s, m/s²)
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Review the concept of average acceleration in physics
  • Study the implications of initial conditions in motion equations
  • Learn about the significance of significant figures in scientific calculations
  • Explore the relationship between velocity functions and acceleration
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of common mistakes in calculating average acceleration.

DrummingAtom
Messages
657
Reaction score
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.
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
5
Views
6K
  • · Replies 17 ·
Replies
17
Views
7K
  • · Replies 2 ·
Replies
2
Views
6K
Replies
11
Views
2K