Car A & B Velocity: Solving Mechanics Problem

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SUMMARY

The discussion focuses on a mechanics problem involving two cars, where Car A travels at a constant velocity of 15 m/s, and Car B accelerates from rest at 0.1 m/s². To determine the speed of Car B when it passes Car A, one must apply kinematic equations to find the point of equal displacement. The solution involves calculating the time it takes for Car B to reach the same position as Car A and then deriving its speed at that moment.

PREREQUISITES
  • Kinematic equations for uniformly accelerated motion
  • Understanding of relative velocity concepts
  • Basic graphing skills for plotting displacement vs. time
  • Knowledge of calculus for deriving speed from displacement
NEXT STEPS
  • Study the kinematic equations in detail, focusing on displacement and velocity calculations
  • Learn how to graph motion scenarios to visualize relative positions over time
  • Explore calculus concepts related to derivatives, specifically in the context of motion
  • Practice solving similar mechanics problems involving multiple objects with different velocities
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of relative motion problems.

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Homework Statement


Car A, which is traveling at a constant velocity of 15 ms-1, passes Car B, which is stationary, at time t = 0. At the instant that it is being passed, Car B begins to move, accelerating at a constant rate of 0.1 ms-2 in the direction in which Car A is travelling. At what speed will Car B be traveling as it passes Car A (in ms-1)?

Homework Equations





The Attempt at a Solution


Ok so I know that this is a relative velocity question? so the relative velocity will decrease by 0.1 per second. But I then get stuck, I am having trouble understanding the situation I think]

cheers
 
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Do you know the Kinematics Equations?

http://wiki.answers.com/Q/What_are_the_kinematic_equations

You need to find the right equation which will find the speed of the car in question as a function of time. Then you find the point where the displacement of both cars is equal, and calculate for the speed.

Alternatively, you could draw a graph and plot the displacement of the cars against time. That way, the speed of the car will be dx/dt at the point that they cross.
Hope that helps
 

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