sololight
(First homework post I've ever made, I encourage you to tell me if I typed something that does not follow policy.)
1. Homework Statement
Distance on the X axis from the ball's location to the field goal = 50 m
Height on the Y axis of the field goals height = 4 m
Ball's angle = 45° θ
Vfx = Vix + ax * t
Vfy = Viy + ay * t^2
Xf = Xi + Vix * t + 1/2 * a * t^2
Yf = Yi + Viy * t + 1/2 * a * t^2
These were provided by the teacher, he told me these were the equations that you needed to solve.
I feel like I am completely missing the point to this problem. The equations look like a huge mess to me, I am struggling to figure out which equation I must use first, my attempt was pitiful and it got nowhere but here it is:
First I just try to solve an equation that comes to mind, for instance, Vfx. Couldn't we assume that the initial velocity of x is 0? I don't know the acceleration of x nor time. So I get: Vfx = 0 + ax * t
The same goes with Vfy, I get Vfy = 0 + ax * t.
For Xf, I assume that the initial X position is 0, the initial velocity of x is 0, I don't know the time but acceleration is 9.8. I end up with 0 + 0 + 4.9 * t^2.
I get the same thing for Yf aswell.
I am clearly missing the point of this problem, I need to find all the unknowns. Perhaps I am not using enough or maybe even the correct equations. I would like to find out the time, when to use the 9.8 m/s as acceleration, and of course the answer to the original problem. All of this has been very frustrating, yet, fun at the same time. I appreciate any help.
1. Homework Statement
Distance on the X axis from the ball's location to the field goal = 50 m
Height on the Y axis of the field goals height = 4 m
Ball's angle = 45° θ
Homework Equations
Vfx = Vix + ax * t
Vfy = Viy + ay * t^2
Xf = Xi + Vix * t + 1/2 * a * t^2
Yf = Yi + Viy * t + 1/2 * a * t^2
These were provided by the teacher, he told me these were the equations that you needed to solve.
The Attempt at a Solution
I feel like I am completely missing the point to this problem. The equations look like a huge mess to me, I am struggling to figure out which equation I must use first, my attempt was pitiful and it got nowhere but here it is:
First I just try to solve an equation that comes to mind, for instance, Vfx. Couldn't we assume that the initial velocity of x is 0? I don't know the acceleration of x nor time. So I get: Vfx = 0 + ax * t
The same goes with Vfy, I get Vfy = 0 + ax * t.
For Xf, I assume that the initial X position is 0, the initial velocity of x is 0, I don't know the time but acceleration is 9.8. I end up with 0 + 0 + 4.9 * t^2.
I get the same thing for Yf aswell.
I am clearly missing the point of this problem, I need to find all the unknowns. Perhaps I am not using enough or maybe even the correct equations. I would like to find out the time, when to use the 9.8 m/s as acceleration, and of course the answer to the original problem. All of this has been very frustrating, yet, fun at the same time. I appreciate any help.
