Car A is starting from rest and accelerating at 4.0 m/s^2, car B passes it

Click For Summary
SUMMARY

In the discussion, the problem involves two cars: Car A, which starts from rest and accelerates at 4.0 m/s², and Car B, which travels at a constant speed of 28 m/s. The user applied the equation of motion, d = vt + 1/2 at², to find the time it takes for Car A to catch up with Car B. The solution led to the equation 2t² - 28t = 0, resulting in a time of t = 14 seconds for Car A to reach Car B. The calculations and methodology were confirmed to be correct by other participants.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = vt + 1/2 at²
  • Knowledge of acceleration and constant speed concepts
  • Ability to solve quadratic equations
  • Familiarity with basic physics principles related to motion
NEXT STEPS
  • Study the derivation and applications of kinematic equations
  • Learn about relative motion in physics
  • Explore more complex problems involving multiple objects in motion
  • Investigate the effects of varying acceleration on motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in solving motion-related problems in mechanics.

dasz
Messages
1
Reaction score
0

Homework Statement


Car A is starting from rest and accelerating at 4.0 m/s^2, car B passes it, moving at a constant speed of 28 m/s. How long will it take car A to catch up with car B.

Homework Equations



d=volt+1/at^2

The Attempt at a Solution



Using the equation above, I used it for car A then car B and made them equal to each other. Got 2t^2 - 28t = 0 then solved. I got t= 14s.

Are there any mistakes? Thanks so much.[/B]
 
Physics news on Phys.org
Your equation and result look fine.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
Replies
94
Views
7K
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
8K
Replies
7
Views
4K