Find the Acceleration of the Aar Going Downhill

  • Thread starter Thread starter Trix
  • Start date Start date
  • Tags Tags
    Acceleration
Click For Summary
SUMMARY

The problem involves calculating the acceleration of a car that initially travels at 30 m/s, brakes for 5 seconds while covering 125 m downhill, and then continues for another 5 seconds, covering an additional 150 m after the brakes fail. The relevant equations include Vxf = Vxi + axt and Xf - Xi = Vxit + (1/2)axt^2. To find the acceleration after the brakes fail, one must analyze the motion in two segments: the first with brakes applied and the second with brakes released.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of acceleration and velocity concepts
  • Ability to analyze motion in segments
  • Familiarity with solving algebraic equations
NEXT STEPS
  • Review kinematic equations for motion analysis
  • Practice problems involving acceleration and braking scenarios
  • Learn how to calculate instantaneous acceleration
  • Explore real-world applications of motion equations in automotive physics
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators seeking to enhance their teaching methods in motion analysis.

Trix
Messages
1
Reaction score
0

Homework Statement


A car originally traveling at 30 m/s manages to break for 5 sec. while traveling 125 m downhill. At that point the breaks fail. After an additional 5 sec. it travels an additional 150 m down the hill. What was the acceleration of the car after the breaks failed?


Homework Equations


Vxf = Vxi + axt and solve for a,Xf - Xi = Vxit + (1/2)axt^2, or ax = (Vxf - Vxi)/t


The Attempt at a Solution


Well, I've tried to use all 3 equations to no avail, perhaps I'm using the wrong ones or I don't understand the question. Or maybe it wants the instantaneous acceleration at that instant (when breaks fail)? Any tips, suggestions are welcome, thanks.
 
Physics news on Phys.org
You'll need to apply those equations to two separate pieces of the car's motion, (1) with breaks on the first 5 sec and (2) with breaks off for the next 5 sec.
 

Similar threads

A series of long problems involving Acceleration, Gravity, Speed, Distance
  • · Replies 1 ·
Replies
1
Views
5K
When will the car and van collide if they do at all.
  • · Replies 1 ·
Replies
1
Views
4K
Car and Ball Acceleration Problems
  • · Replies 10 ·
Replies
10
Views
2K
When will Kathy overtake Stan if he starts 1.00s before her with constant a
  • · Replies 7 ·
Replies
7
Views
7K
Calculate the force to stop a train
  • · Replies 2 ·
Replies
2
Views
7K
Finding velocity, time, and distance
  • · Replies 4 ·
Replies
4
Views
8K
Application of one dimensional force - Dynamics
  • · Replies 2 ·
Replies
2
Views
14K
Finding the magnitude of acceleration in 2D motion
  • · Replies 2 ·
Replies
2
Views
3K
How Does a Car's Stopping Distance Change on a Downhill Slope?
  • · Replies 4 ·
Replies
4
Views
3K
What is the Average Speed and Acceleration of a Car on a Straight Road?
  • · Replies 45 ·
2
Replies
45
Views
5K