Acceleration and distance problem

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SUMMARY

The problem involves a car and a motorcycle starting 1000.0 meters apart, with the car accelerating at 3.7 m/s² and the motorcycle at 4.40 m/s². To determine the position where they meet relative to the car's starting point, one must calculate the time it takes for the two vehicles to close the distance between them to zero. Using the equations of motion, specifically d = (Vi)(t) + 1/2at², the distances traveled by each vehicle can be calculated to find the meeting point.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = (Vi)(t) + 1/2at²
  • Knowledge of uniform acceleration concepts
  • Ability to solve quadratic equations
  • Familiarity with relative motion principles
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  • Calculate the time taken for two objects with different accelerations to meet
  • Explore the use of simultaneous equations in motion problems
  • Learn about relative velocity and its application in collision problems
  • Study advanced kinematics involving multiple objects in motion
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Students studying physics, particularly those focusing on kinematics and motion problems, as well as educators looking for practical examples to illustrate concepts of acceleration and relative motion.

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Homework Statement


A car and a motorcycle at rest and 1000.0m apart start toward each other at the same time on a level track. if the car accelerates at a uniform rate of 3.7m/s^2 and the motorcycle accelerates at a uniform rate of 4.40m/s^2, at what position will they pass each other relative to the car's starting point?


Homework Equations


d=(Vi)(t)+1/2at^2
Vf^2=Vi^2+2ad
a=(Vf-Vi)/t


The Attempt at a Solution


i know that the time will be equal but i really just don't know where to go from there or what to do to solve.
 
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louisG345 said:

Homework Statement


A car and a motorcycle at rest and 1000.0m apart start toward each other at the same time on a level track. if the car accelerates at a uniform rate of 3.7m/s^2 and the motorcycle accelerates at a uniform rate of 4.40m/s^2, at what position will they pass each other relative to the car's starting point?

Homework Equations


d=(Vi)(t)+1/2at^2
Vf^2=Vi^2+2ad
a=(Vf-Vi)/t

The Attempt at a Solution


i know that the time will be equal but i really just don't know where to go from there or what to do to solve.

Homework Statement



Homework Equations



The Attempt at a Solution


Welcome to PF.

First figure how long it will take to close the distance between them to 0.

Maybe if you consider the total acceleration toward each other that can give you the time? And then with that time you can use that for the car and figure the distance it traveled when they meet?
 

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