Solve Kinematic Equations for Collision of Carts

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The discussion revolves around solving a physics problem involving the collision of two carts using kinematic equations. The user is trying to determine when the two carts will collide, given their initial conditions, including positions and accelerations. Key points include the need to incorporate the initial position of Cart B into the equations, as both carts start from rest, simplifying the equations by removing initial velocity terms. The conversation emphasizes equating the position equations of both carts to find the time of collision and the importance of understanding the physical meaning of each term in the equations. Ultimately, the user is encouraged to clarify their equations and ensure they reflect the correct physical scenario for accurate problem-solving.
  • #31
Alright so I got
Xb+v0T+(1/2)-(aB)t^2=0+v0T+(1/2)aAT^2
 
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  • #32
Bocian said:
Alright so I got
Xb+v0T+(1/2)-(aB)t^2=0+v0T+(1/2)aAT^2

Be careful with your formatting. That minus sign in the middle of the acceleration term on the left side looks like an operator dividing two terms. Move the minus sign outside of the term. Use the same case for the same variables; it looks like t and T are separate variables.

What are the initial velocities of each cart?
 
  • #33
The initial velocity is both 0. Ok I replaced the + with a - on the left and removed parenthesis around ab
 
  • #34
Bocian said:
The initial velocity is both 0. Ok I replaced the + with a - on the left and removed parenthesis around ab

So if the initial velocities are both zero, what values will you plug in for the ##V_0##'s in your equation?
 
  • #35
Remove them since are 0?
 
  • #36
Bocian said:
Remove them since are 0?

Of course. I would have thought that would be obvious.

It is painful to try to apply and work with equations if you don't understand what the terms are and what they represent physically. You should be able to look at all the basic kinematic equations and describe what each term represents.

You should already have been introduced to writing and solving equations in your studies. These are very basic things that you seem to be struggling with. Perhaps you need to find a tutorial on basic algebra?
 
Last edited:
  • #37
Yes, I just didn't simplfy it yet. This is my first physics lesson so I'm still learning the basics. Our teacher said it would be challenging for us. Thanks for bearing with me on this.
 

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