What is the slope of the ground in the landing zone?

[Cantworkit]

[SOLVED] linear motion

Homework Statement

Skiers leave a ski jump at 28 m/s, at an angle of 9.5 degrees below the horizontal. Their landing zone is a horizontal distance of 55 m from the end of the jumo The ground is contoured at that point so that the skiers trajectories make an angle of only 3 degrees with the ground on landing. What is the slope of the ground in the landing zone?

Homework Equations

tan theta = y/x
x = x0 + v0t + 1/2gt^2
y = y0 + y0t + 1/2 gt^2

The Attempt at a Solution

t = (x - x0)/v0 = (x - x0)/v0cos9.5 = 2s
From here I can solve for the velocity vector at the landing, but I do not see how to solve for the x-y coordinates

 

[SheldonG]

Homework Statement

From here I can solve for the velocity vector at the landing, but I do not see how to solve for the x-y coordinates

Won't v point in the same direction as the skis? As I read the problem, the angle of the slope is three degrees less than this.