- #1

dwinkley

- 10

- 0

- Homework Statement
- (in this problem, i will be referring to this illustration i made: https://www.geogebra.org/calculator/ykyuetcp). We have the two red lines, which are the ceiling, and the floor of a tunnel. these lines are parallel to each other, and their difference in degrees from the horizontal axis is 30°. We have a random P point on the floor of the tunnel, and in the P point we have a rock(its size is the size of a point). The starting velocity of the rock is completely horizontal, there is no vertical starting velocity. The distance between the floor and the ceiling is 3 units. We want the rock to not hit the ceiling, but after lifting off the ground, we want it to hit the floor again as late as possible(we want to maximize the distance it travels, without it hitting the ceiling). What should its starting velocity be, and how far will it travel maximally?

- Relevant Equations
- vy=0

vx=?

all i could accomplish was calculating the distance between P and the ceiling in a horizontal line(6)