Graphing a quantitatively accurate v vs. t

  • Thread starter Thread starter Johny 5
  • Start date Start date
  • Tags Tags
    Graphing
Click For Summary
SUMMARY

The discussion focuses on graphing the velocity versus time (v vs. t) for a car that decelerates from 25 m/s to a complete stop over 4.0 seconds. The participant correctly identified the initial velocity and attempted to calculate the slope of the v vs. t graph, arriving at a value of 6.25 m/s², which represents the car's deceleration. The conversation emphasizes the importance of constructing accurate graphical representations for displacement during braking and understanding the implications of slope in v-t graphs.

PREREQUISITES
  • Understanding of kinematics, specifically velocity and acceleration concepts.
  • Familiarity with graphing techniques for motion analysis.
  • Knowledge of basic calculus to interpret slopes in graphical representations.
  • Ability to apply the equations of motion in practical scenarios.
NEXT STEPS
  • Learn how to construct and interpret acceleration vs. time (a vs. t) graphs.
  • Study the equations of motion for uniformly accelerated motion.
  • Explore graphical methods for calculating displacement from velocity-time graphs.
  • Investigate real-world applications of kinematic equations in automotive safety analysis.
USEFUL FOR

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

Johny 5
Messages
35
Reaction score
0

Homework Statement


While Cruising along a dark stretch of highway with the cruise control set at 25 m/s, you see, at the fringes of your headlights, that a bridge has been washed out. You apply the brakes and come to a stop in 4.0s. Assume the clock starts the instant you hit the brakes


Homework Equations


1. Construct a qualitative graphical representations of the situation described above to illustrate:
A. x vs. t
B. v vs. t
C. a vs. t

2. Construct a quantitatively accurate v vs t graph to describe the situation.
3. On a v vs t graph, graphically represent the car's displacement during braking.
4. Utilizing the graphical representation, determine how far the car traveled during braking. (Please explain the problem solving method)


The Attempt at a Solution


I got the first question right but that's as far as i could get...

Since the initial position is 25m and it comes to a stop at 4.0s would the accurate v vs t graph have a slope of 6.25? (dividing 25 (rise) by 4 (run) )
 
Last edited:
Physics news on Phys.org
What would the slope represent in a v-t graph?
 
The next question, sorry I didn't write the whole thing, but it explains the next a vs t graph and i already solved this I don't know why i couldn't answer this, probably because it was 4 in the morning. Thanks anyway
 

Similar threads

Find Velocity and Time from an Acceleration vs Time Graph
  • · Replies 23 ·
Replies
23
Views
3K
X vs t graph for a car that's moving away from the origin and slowing down
  • · Replies 18 ·
Replies
18
Views
5K
Finding Acceleration from a v^2 vs. t Graph
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Why v vs. t graph signifies but s vs. t^2 doesn't ?
  • · Replies 4 ·
Replies
4
Views
1K
Troubleshooting a Velocity vs. Time Graph: Position at t=10
  • · Replies 4 ·
Replies
4
Views
2K
Just a quick question about v vs. t graphs
  • · Replies 2 ·
Replies
2
Views
5K
Coefficient of kinetic friction between a car and the road
  • · Replies 12 ·
Replies
12
Views
4K
Can a Motorbike Stop in Time to Avoid a Crash?
  • · Replies 4 ·
Replies
4
Views
2K
Help with Graphs Homework: Find Velocity at t=7.0s
  • · Replies 5 ·
Replies
5
Views
27K
Reading Acceleration in V vs. T Graph
  • · Replies 1 ·
Replies
1
Views
4K