3.2 Physics Section 3.2 Physics Section 3.2
Resolve vectors into their components
When a person walks up the
side of a pyramid, the motion
is in both the horizontal and
vertical directions.
A right triangle is formed by
the motion of the person.
Formulas for right triangles
examples
• A tourist walks up a pyramid. The pyramid is 60.0 m
high and 80.0 m wide. Find the displacement of the
tourist.
• Student problem: While following the directions on
a treasure map, a pirate walks 45.0 m north and then
walks 7.50 m east. What single straight line
displacement could the pirate have taken?
Components of a vector are two vectors (usually
perpendicular) that have the same total effect as the
original vector.
Breaking a vector into its components is called
resolving the vector.
• Find the vertical and the horizontal components of a
missile traveling with a velocity of 120 m/s at an angle of
30 degrees above the horizontal.
• How fast must a truck travel to stay beneath an airplane
that is moving 105 km/h at an angle of 25 degree to the
ground?
• Student problems page 92, #3,#4
It is not possible to use the Pythagorean Theorem to
find the resultant of two vectors that do not act at right