Homework Help: Projectile Problem

1. Oct 28, 2009

James22

1. The problem statement, all variables and given/known data

There is the question I am having trouble with. All the data is given in the image. I am to find "d". The slope being on an angle is what is throwing me off. It would be simple enough if the ground was perfectly horizontal, but I am not sure how to handle the 10 degree incline.
My first thought was to make it as the golf ball was hit horizontally and at an angle of 55 degrees. I am not sure how to figure out the distance "d" though.

Any help would be greatly appriciated

2. Relevant equations

s=vot + 1/2 at^2

v=vo + at

V^2=vo^2 + 2as

3. The attempt at a solution
I am not sure where to start.

2. Oct 28, 2009

Andrew Mason

Find the horizontal speed. Determine the height at B. Plug that time into your equation for height: $h = v_yt - .5gt^2$ to find the time of flight. Put that value of t into your equation for horizontal speed.

AM

3. Oct 28, 2009

James22

I have the horizontal speed as 80cos55 = 45.89ft/s

I am unsure of how to calculate the height at which the ball hits the ground. Could someone shed some light as to how I would go about this.

This equation for h, combined with $h = v_{0y}t -\frac{1}{2}gt^2$ gives you two equations and two unknowns. So you can solve for t.