2D Kinematics

2D vectors

100

Looking at the diagram, what kinematic quantities do we have?

v_i and s

200

Find the vertical and horizontal components of a speed 10m/s at an angle of 22⁰

Vertical:3.75 m/s

Horizontal: 9.27 m/s

300

Find the vertical and horizontal components of 35m/s at an angle of 70⁰

Vertical: 32.9 m/s

Horizontal: 12.0 m/s

400

If I walk 10 m north, then 5 m west, what is the magnitude of my total displacement?

11.2 m (using Pythagoras)

Horizontal launch

100

What is the initial horizontal velocity?

10 m/s

200

What is the initial vertical velocity?

0!

300

What are the vertical and horizontal accelerations?

0 horizontally, 9.8 downwards vertically!

400

What is the kinematic quantity that is the same for both horizontal and vertical directions?
(If in doubt, what should we find?!)

Time

Launch at angle

100

What kinematic quantity do we set if we want the maximum height?

vf = 0!

200

How do we find the range?

Find the time to maximum height, and then DOUBLE it!

300

What are the vertical and horizontal accelerations?

0 horizontally, 9.8 downwards vertically

400

Looking at the diagram, what are the initial vertical and horizontal velocities?

v_i = 50 m/s

s = 43.3 m/s