Question

A chauffeur heads south with a steady speed of

v₁ = 20.0 m/s

for

t₁ = 3.00 min,

then makes a right turn and travels at

v₂ = 25.0 m/s

for

t₂ = 2.60 min,

and then drives northwest at

v₃ = 30.0 m/s

for

t₃ = 1.00 min.

For this 6.60-min trip, calculate the following. Assume +x is in the eastward direction.

(a)

total vector displacement (Enter the magnitude in m and the direction in degrees south of west.)

For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! mdirection ° south of west

(b)

average speed (in m/s)

m/s

(c)

average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)

magnitude m/sdirection ° south of west

Answer 1