Calculating Overtaking Time and Distance in One-Dimensional Motion

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Homework Help Overview

The problem involves calculating the overtaking time and distance in a one-dimensional motion scenario, focusing on two cars with different accelerations starting from rest. The subject area is kinematics, particularly uniform acceleration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the kinematic formula for position as a function of time and how to apply it to each car's motion. There are questions about the initial time settings for both drivers and considerations of their respective positions and speeds at specific times.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem setup. Some guidance has been offered regarding the use of kinematic equations, but no consensus has been reached on the initial conditions or the best approach to take.

Contextual Notes

There is a specific focus on the timing of the start for each driver, with one starting 1 second before the other, which may affect the calculations. Participants are also considering how to represent the motion of each car accurately.

Ayesh
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Kathy Kool buys a sport car that can accelerate at the rate of 4.90 m/s2. She decides to test the car by racing with another speedster, Stan Speedy. Both start from rest, but experienced Stn leaves the starting line 1.00 s before Kathy. Stan moves with a constant acceleration of 3.50 m/s2 and Kathy maintains an accceleration of 4.90 ms2.

a) Find the time at which Kathy overtakes Stan.
b) Find the distance she travels before she catches him.
c) Find the speeds of both cars at the instant she overtakes him.

I am not asking for the solution, I just want clues to help me resolve this question. Thank you.
 
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What's the kinematic formula for position as a function of time for uniformly accelerated motion? Use that formula to describe the position of each car as a function of time.
 
Ayesh your quote is very crazy yar but i am thinking over it wait please
 
For the initial time, should I use Ti-Kathy=1 second and Ti-Stan=0 second?
 
What I would do is measure time starting at t = 0 when Kathy starts moving. Where is Stan and how fast is he moving at that time?
 

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