Are there any equation for 2d motion and if present what are they?

Answer 1

Sure there are

Simply use your 1-D equations to begin with and apply them to 2-D.

so in 1-D, #v = u + at#

These become: in 2-D rectangular (x-y) coordinates

#vec v =((v_x),(v_y)) = ((u_x),(u_y)) + ((a_x),(a_y)) t#
you can completely generalise by saying that #vec v = d/dt vec r# and #vec a = d^2/dt^2 vec r# and then choose the coordinate system if you like
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Answer 2

Yes, there are equations for 2D motion. The two main equations used to describe 2D motion are:

  1. The equations of motion for horizontal motion: (x = x_0 + v_{0x} t + \frac{1}{2} a_x t^2) (v_x = v_{0x} + a_x t)

  2. The equations of motion for vertical motion: (y = y_0 + v_{0y} t + \frac{1}{2} a_y t^2) (v_y = v_{0y} + a_y t)

Where:

  • (x) and (y) are the final horizontal and vertical positions respectively.
  • (x_0) and (y_0) are the initial horizontal and vertical positions respectively.
  • (v_{0x}) and (v_{0y}) are the initial horizontal and vertical velocities respectively.
  • (v_x) and (v_y) are the final horizontal and vertical velocities respectively.
  • (a_x) and (a_y) are the horizontal and vertical accelerations respectively.
  • (t) is the time elapsed.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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