Phyics problem, please help!?
How would I solve this?
A train moving at a constant speed of 100km/h travels east for 40min, then 30degrees east of north for 20min, and finally west for 30min. What is the train's average velocity for the trip?
Thank you.
Comments
distance = rate x time
Velocity is the average speed with direction factored in.
Therefore, turn the 30degree segment of the trip into its x and y components.
sin30 = y/100 and cos30 = x/100
Turn mi/hour into mi/minute for everything, then times each component vector by 20 minutes. This gives the distance in its components.
Add to each component vector the distance traveled during the east and north traveling segments. Use pythagorean theorum to determine total distance traveled.
Total distance divided by time equals average velocity.