Tammy leaves the office, drives 33 km due
north, then turns onto a second highway and
continues in a direction of 32
◦
north of east
for 89 km.
What is her total displacement from the
office?
north, then turns onto a second highway and
continues in a direction of 32
◦
north of east
for 89 km.
What is her total displacement from the
office?
-
d² = x² + y²
d² = (33+89sin32)² + (89cos32)²
d² = 33² + 2*33*89sin32+89²sin²32+89²cos²32 = 12122.7
d = 110.1 km
Tammy is 110.1 km straight line distance from the office.
d² = (33+89sin32)² + (89cos32)²
d² = 33² + 2*33*89sin32+89²sin²32+89²cos²32 = 12122.7
d = 110.1 km
Tammy is 110.1 km straight line distance from the office.
-
Displacement is a vector quantity that
refers to "how far out of place an
object is"; it is the object's overall
change in position. Just pull a line from the start position to the finish position. And then you have a triangle. Measure the lenght of the line with law of sines calculation (see the wikipedia for law of sines).
refers to "how far out of place an
object is"; it is the object's overall
change in position. Just pull a line from the start position to the finish position. And then you have a triangle. Measure the lenght of the line with law of sines calculation (see the wikipedia for law of sines).
-
Use vectors. And trigonometry.
Make a triangle. Solve for the length of the long side of the triangle.
Make a triangle. Solve for the length of the long side of the triangle.