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.

 

[Moetasim]

at the landing.

I would like to clarify that the given information is not sufficient to determine the slope of the ground in the landing zone. The equations provided are relevant for linear motion, but do not provide enough information to calculate the slope of the ground. In order to determine the slope, we would need to know the height of the landing zone and the horizontal distance from the end of the jump to the landing zone. Without this information, it is not possible to accurately determine the slope of the ground.