a bird flying 5 km on a bearing of 35 degree how far north and east of it's starting point is it's finally position?
Answers
Scalars quantities: are quantities that are fully described by a magnitude alone.
Vectors quantities are quantities that are fully described by both a magnitude and a direction.
Quantity
Category
a. 5 m
SCALAR
b. 30 m/sec, East
VECTOR
c. 5 mi., North
VECTOR
d. 20 degrees Celsius
SCALAR
Distance is a scalar quantity, which refers to "how much ground an object has covered" during its motion.
A boy walks 150 meters due east and then turns around and walks 30 meters due west. The boy walked a distance of 180 METERS
Displacement is a vector quantity, which refers to "how far out of place an object is"; it is the object's change in position. Straight line from start to finish.
A boy walks 150 meters due east and then turns around and walks 30 meters due west.
The boy's displacement is 120 METERS EAST
The Resultant: SUM OF TWO OR MORE VECTORS
A motorboat traveling 4 m/s, East encounters a current traveling 3.0 m/s, North.
RESULTANT = 5 M/S NORTH EAST
Analytical Vector Addition
X’S ADD WITH X’S (+EAST + - WEST)
Y’S ADD WITH Y’S (+NORTH + -SOUTH)
RESULTANT = √ Ax total ² + Aytotal ²
A motorboat traveling 6 m/s, North encounters a current traveling 3.8 m/s, South. What is the resultant velocity of the motorboat?
RES = 2.2 m/s north
A motorboat traveling 4 m/s, East encounters a current traveling 7.0 m/s, North. Determine the resultant.
RES = 8.06 m/s north east
Vector Components Any vector directed at an angle to the horizontal can be broken down into its two components.
Ax = A Cos theta
Ay = A Sin theta
A motorcycle stunt person traveling 37 m/s jumps off a ramp at an angle of 35 degrees to the horizontal. Determine the horizontal and vertical components of the motorcycles velocity.
AX = 30.31 m/s AY = 21.22 m/s
