kin2dim

Kinematics in 2 dimensions

Strategy to solve kinematics problems in 2 (or more dimensions)
Divide and conquer: split the motion in the x and y components and apply the kinematics equations to the x and y direction separetely.

1) v_x = v_0x t + a _x t

2) x = 1/2 ( v_0x+ v _x ) t

3) x = v_0x t +1/2 a_x t ²

4) v_x² = v_0x ² +2 a_x x

1) v_y = v_0y t + a _y t

2) y = 1/2 ( v_0y+ v _y ) t

3) y = v_0y t +1/2 a_y t ²

4) v_y² = v_0y ² +2 a_y y

In the end recombine the components of position, velocity and acceleration.

r = Ö(x² +y²) , q_r = tan^-1 ( y/x)

v = Ö(v_x² +v_y²) , q_v = tan^-1 ( v_y/v_x)

a = Ö(a_x² +a_y²), q_a = tan^-1 ( a_y/a_x)

Hosted by www.Geocities.ws