[1D kinematics] Car problem: Solving problem with a graph

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SUMMARY

The discussion centers on solving a 1D kinematics problem involving a car that accelerates, moves at constant speed, and then decelerates. The car accelerates uniformly for 200 meters, travels 160 meters at constant speed, and decelerates over 50 meters, completing the trip in 33 seconds. Participants emphasize the importance of using a velocity versus time graph to visualize the problem, particularly noting the trapezoidal shape of the graph, which aids in calculating the areas corresponding to each segment of the car's motion.

PREREQUISITES
  • Understanding of kinematics equations
  • Familiarity with graphing techniques, specifically velocity versus time graphs
  • Knowledge of calculating areas under curves
  • Basic principles of uniform acceleration and deceleration
NEXT STEPS
  • Learn how to calculate the area of a trapezoid to determine distance traveled
  • Study the kinematic equations for uniformly accelerated motion
  • Explore the relationship between velocity, time, and distance in motion graphs
  • Practice solving similar kinematics problems using graphical methods
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, educators teaching motion concepts, and anyone interested in applying graphical methods to solve physics problems.

hiuting
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Homework Statement


A car starts from rest and accelerates uniformly for 200m. It moves at constant speed for 160m and then decelerates to rest in 50m. The whole trip takes 33s. How long did it move at constant speed? (hint: draw the v versus t graph).


Homework Equations


kinematics equations
and the graph is used


The Attempt at a Solution


I drew the graph which looks like a trapezoid... but I don't know what to do after that.
 
Physics news on Phys.org
Delightful to see your teacher using the graphing method instead of just formulas all the time! Do you know how to put the distances on that graph? Got the constant speed level marked with a "v" or something? The method usually involves writing formulas for the areas. Once you have them written up you'll probably see how to finish it.
 

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