kinematics and dynamics

scalar vs vector quantities

scalar quantities are magnitude only. they are defined by just a single number

e.g. mass, distance, speed, time

vector quantities are described by both a magnitude and direction

e.g. velocity, acceleration, displacement

distance and displacement

distance is a scalar quantity that measures every single movement that the object makes; the entire path taken by the object.

  • measured by adding all of the individual paths taken by the object

displacement is a vector quantity that measures the exact length between the starting pint and the ending point in a straight line.

it is defined by the length, direction/bearing

→ 10m NE/ 30° T

  • in order to measure, it is to find the ‘hypotenuse’, and Pythagorean theorem, with √a²+b², a=all the height added, b=all the width added

  • notes to keep in mind during displacement

    • SOHCAHTOA is only used for the bearing of the displacement

    • phythag used to determine the length of the displacement

    • remember to add the squares (²) on pythag