Solve it: Catch the Bus with Constant Velocity?

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SUMMARY

The discussion revolves around a physics problem where a runner needs to determine the constant velocity required to catch a bus that starts accelerating at 3 m/s² from rest when the runner is 20 meters away. Participants emphasize the importance of establishing initial conditions, using kinematics formulas, and defining a coordinate system for both the runner and the bus. Key variables include the initial and final positions, velocities, and acceleration of both the runner and the bus, which are critical for solving the problem.

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  • Understanding of kinematics equations
  • Familiarity with concepts of acceleration and velocity
  • Ability to draw and interpret motion diagrams
  • Knowledge of coordinate systems in physics
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jdenn
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Hi, I've got a big probllem:

When you are 20m away from your bus it begins accelerating a 3m/s/s (from rest). What constant velocity should you run at to catch the bus.

HELP!
Please!
jason
 
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there's i big chance no one will help you unless you show an attempt
 
Yep, you have to show that you've made an attempt.
 
Tom Mattson said:
Yep, you have to show that you've made an attempt.
thats the think I have no idea where to begin

The fruit of my labors is:
me:
Vi=?
Vf=?
t=?
a=0
d=to busbus:
Vi=0
Vf=?
t=?
a=3m/s^2
d=to bus
This enough? because otherwise i am sol
 
Last edited:
Try drawing two pictures; the first showing the initial conditions, and the second showing the final conditions when you've caught the bus.

Once you've drawn the pictures, make sure you listed all your knowns.

List your kinematics formulas so you can see what you have to work with.

And don't forget to note your initial and final position.

Try choosing your initial position as zero, which would make the initial position of the bus 20 m.
 


*melinda* said:
Try drawing two pictures; the first showing the initial conditions, and the second showing the final conditions when you've caught the bus.
Once you've drawn the pictures, make sure you listed all your knowns.
List your kinematics formulas so you can see what you have to work with.
And don't forget to note your initial and final position.
Try choosing your initial position as zero, which would make the initial position of the bus 20 m.
i have drawn a picture, listed my formulas( no idea which 1 to use though)
 
You have yet to make use of that 20m in the problem statement. Let the motion be along the x-axis.

Can you fill in the following information?

Runner: xi=?
Bus: xi=?
 
Tom Mattson said:
You have yet to make use of that 20m in the problem statement. Let the motion be along the x-axis.
Can you fill in the following information?
Runner: xi=?
Bus: xi=?
ive been working more but all i have still is:thats the think I have no idea where to begin

me:
Vi=?
Vf=Vi (constant)
t=?
a=0
d=to bus-20


bus:
Vi=0
Vf=?
t=?
a=3m/s^2
d=to me+20
 
In order to answer my question, you need to choose an origin for the coordinate system. Let's just put the runner's initial position at the origin, and let the bus sit to the right of the runner.

Now can you fill in those values?
 
  • #10
me:
Vi=?
Vf=Vi (constant)
t=?
a=0
d=distance runbus:
Vi=0
Vf=?
t=?
a=3m/s^2
d=to run-20
 
  • #11
What I am asking you to do is assign an x-coordinate to both the runner and the bus initially. Do you know what a coordinate on a graph is?
 
  • #12
x would be distance and y would be time right?
 
  • #13
In the usual notation, x is distance and t is time. So if you have motion in 1 dimension, and we say that the motion is along the x-axis, and we say that the runner starts at the origin and that the bus starts out 20 meters to the right of the runner, then can you please tell me what the initial x-coordinate of both the runner and the bus are?

We're happy to help with homework, but you have to work with us.
 

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