Distance vs Displacement

1
Distance vs Displacement
5 meters east in 2 seconds
3 meters south in 1 second
The total distance d traveled is
The total displacement d is
Speed d / t v
Velocity d / t v
2
Vector mathematics is different than scalar
mathematics
Scalars are just numbers and can be added with
regular math. They add up to a sum.
Vectors have direction and must be drawn to scale
and connected head-to-tail. They add up to a
resultant.
HEAD
Tail
Start
Finish
3
2 miles
3 miles
4 miles
Road runner travels 5 miles before Marvin sends
him back. Road runner takes a shortcut back that
saves him a mile.
If the whole round trip took 1 hour, what is
roadrunners a) speed?
b) displacement ?
4
Practice 1. A runner runs 500 meters due
east and 1000 meters due south. Find the distance
and displacement
2. A plane travels 3000 miles from California to
New York in 5 hours, stays in NY 1 hour to
refuel, then flies back again. Find the
average speed and average velocity for the round
trip flight .
5
When direction changes, average velocity
average speed
Ex Wilbert drives 2.0 km east in 15 minutes to
make a delivery. He then goes 3.0 km west in 20
minutes to make a delivery to the other side of
town. Find Wilberts a) average speed b)
average velocity During his 35 minutes of travel
6
(No Transcript)