A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 3.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 7.00 min trip, find the following values.
a. Total vector displacement displacement
b. Average speed
c. average velocity
The Attempt at a Solution
a. Δr=24m/s(180s)south+25m/s(180s)west+30m/s(60s)north west
=4320m(-j)+4500m(-i)+1272.8(-i)+1272.8j Would this "j" be positive or negative?
square root ((-5772.8)^2+(-3047.208)^2)=6527.680
θ=tan-1(3047.208/5772.8) or would it be tan-1(3047.208/5772.8)
b. average speed=4320+4500+1800
c. Would the average velocity direction be the same as the one from part a?
Thank you very much