Question

You travel 250 km south in 6.5 hours, turn west and travel 155km in 3 hours, then turn north and travel 32 km in 30 minutes.

(A) What is the elapsed time?
(B) What is the total distance traveled?
(C) What is the total displacement?
(D) What is the average speed for the trip?
(E) What is the average velocity for the trip

Answer 1

Step-by-step explanation:

(A) What is the elapsed time?

t = 6.5 + 3.0 + .05 = 10 hr

(B) What is the total distance traveled?

d = 250 + 155 + 32 = 437 km

(C) What is the total displacement?

d = √((250 - 32)² + 155²) = 267.48644... = 267 km

as displacement is a vector, we also need a direction

θ = arctan((250 - 32) / 155) = 54.6° S of W

(D) What is the average speed for the trip?

437/10 = 43.7 km/hr

(E) What is the average velocity for the trip

267/10 = 26.7 km/hr 54.6° S of W