1 dimensional kinematics with car and motorcycle

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Homework Help Overview

The discussion revolves around a problem in one-dimensional kinematics involving two friends, Steve and Jack, where Jack travels at a constant velocity while Steve accelerates from rest. The problem includes multiple parts requiring the determination of Steve's velocity upon meeting Jack, his acceleration, the time of their meeting, and the distance Jack travels during this time.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the implications of Jack's constant velocity and question the direction of his motion relative to Steve. There are discussions about whether Steve's acceleration is uniform and logical arguments are suggested regarding Steve's speed at the point of meeting. Additionally, participants consider the relationship between the time and distance traveled by Jack.

Discussion Status

The discussion is active with participants raising questions about the problem's setup and clarifying assumptions. Some guidance has been provided regarding logical reasoning for determining Steve's speed and the relationship between the time and distance traveled by Jack, although there is no explicit consensus on the interpretations of the equations presented.

Contextual Notes

There are indications of potential typographical errors in the equations provided, specifically regarding the expression for acceleration. The problem also involves constraints related to the conditions of motion for both participants.

tk24700
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Homework Statement


Two friends agree to test their physics background in 1D motion. Steve, is a distance d ahead of Jack. Jack is driving at a constant, know velocity v0 when they start their experiment. At this moment, Steve accelerates from rest with his motorcycle in such a way that they only meet once at time tF at a distance xF from where Jack started the experiment.
a)What is the velocity of Steve starting from rest once he meets Jack in terms of v0
b) show that the acceleration for Steve is given by a= v^2/2a
c) Show that the time tF is given by : tF= 2d/v0
d) Show that the distance xF, i.e. the distance Jack traveled after he started counting the experiment, is given by: xF= 2d

Homework Equations

The Attempt at a Solution


I have b and c. I cannot for my life seem to get (a and d). Any hints or help would help. [/B]
 
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tk24700 said:
Jack is driving at a constant, know velocity v0 when they start their experiment.
v_0 in which direction? Towards Steve or away from him?
Also, does Steve undergo uniform acceleration?
 
For (a) you can make a logical argument about what Steve's speed must be when they meet given that they do meet and only once.

For (d), consider your answer to (c) and what you know about Jack's speed.
 
tk24700 said:
b) show that the acceleration for Steve is given by a= v^2/2a
Is there a typo here?
 
insightful said:
Is there a typo here?
Yes, it should be a= v^2/2d
 

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