Find total displacement and angle. Will give brainliest!

The total displacement is 53.35m at 68.96 degrees

Explanation:

Displacement = distance * <cos(angle), sin(angle)>

Given:

d1 = 20, angle1 = 45

d2 = 36, angle2 = 82

Displacement 1

D1 = 20<cos(45),sin(45)>

=<14.14,14.14>

Displacement 2

D2 = 36<cos(82),sin(82)>

= <5.01, 35.65>

Total displacement

D = D1 + D2

=<14.14,14.14>+<5.01, 35.65>

=<19.15, 49.79>

Magnitude of displacement

= sqrt(19.15^2+49.79^2)

= 53.35 m

Angle

= atan2(49.79/19.15)

= 68.96 degrees

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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