Homework SourseTammy leaves the office drives 66 km due north then turns on
Tammy leaves the office, drives 66 km due
north, then turns onto a second highway and
continues in a direction of 33 north of east
for 85 km. Displacement is 133.0107km
At what angle is her displacement? (Consider
east to be 0 and north 90.)
Answer in units of degrees.
north, then turns onto a second highway and
continues in a direction of 33 north of east
for 85 km. Displacement is 133.0107km
At what angle is her displacement? (Consider
east to be 0 and north 90.)
Answer in units of degrees.
Solution
First displacment s = 66 j
second displacment s \' = 85 cos 33 i + 85 sin 33 j
= 71.28 i + 46.29 j
Total displacment S = s+ s\'
= 71.28 i + 112.29 j
Magnitude of S = [ 71.28 2 + 112.29 2 ]
= 133 km
Let S makes an angle with east then tan = 112.29 / 71.28
= 57.59 o
