- #1
- 2,076
- 140
Homework Statement
Frank drives a load of tomatoes 14 km [E], 6 km [N], 12 km [N 15° E] ( East 15 degrees of north ) and then 2 km [N 65° E]. The trip takes 42 minutes.
a) Calculate frank's distance and displacement.
b) Calculate frank's average speed and average velocity.
Homework Equations
##Δt = 42m##
##v_{av} = \frac{Δd}{Δt}## - ave speed
##\vec{v_{av}}= \frac{\vec{Δd}}{Δt}## - ave velocity
The Attempt at a Solution
a) So the first thing I did was drew a diagram of what was going on.
Now to calculate the distance ##Δd## which is pretty straightforward, consider :
##Δd = d_1 + d_2 + d_3 + d_4 = 34 km##
Now calculating the displacement ##\vec{Δd}## is a bit trickier. Looking at my diagram, I notice the first two distances allow me to form a right angle triangle with which to calculate the displacement from the origin to the end of the second distance.
Then I think I can make another triangle from my second distance to the end of my fourth distance and calculate the displacement that way.
After that question b) really isn't an issue. I just want to make sure my approach to the displacement is correct before I continue.