Finding X & Y Coordinates of Ball Thrown from Building on Slope

In summary: in summary, to find the x and y coordinates of a ball that is thrown from a building onto a slope, you need to know the initial velocity, the height of the building, and the angle of the sloped ground.
  • #1
jjiimmyy101
74
0
What do you do to find the x and y coordinates of a ball that is thrown from a building onto a slope?

*Initial velocity is given along with the angle
*The height of the building is given
*And the angle of the sloped ground is given
 
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  • #2
You should at least try and solve the problem since this place is for help not just asking physisists to solve the problems for you.

Word of advice (sorry for offtop) read sticky notes

No hard feelings
 
  • #3
Equations:
Horizontal Component (a=0): v =vo + a*t; x =xo + vo*t +0.5*a*t^2; v^2=vo^2 + 2*a*(s-so)

Vertical component (a=-9.81): v=vo + a*t; y=yo + vo*t + 0.5*a*t^2; v^2= vo^2 + 2*a*(y-yo)

*(vo)x=12
*(vo)y=16
*t=?
*...
 
  • #4
try using

d=Vit+1/2a(t)^2

If your Vi is zero it can work out nicely if you find acceleration

to find acceleration use

Vf^2=Vi^2+2ad work it back assuming you know Vf, Vi and displacement
 
  • #5
I should have been more specific.

Problem: The ball is thrown from the tower with a velocity of 20m/s. Determine the x and y coordinates to where the ball strikes the slope. Also, find the speed at which the ball hits the ground.

**Picture attached
 

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  • #6
The second part is really easy knowing your initial velocity and displacement you should be able to find your final velocity

use Vf^2=Vi^2+2ad where a is acceleration due to Earth's gravity and d is your displacement i.e. distance to the ground

first part with the slope though I just simply don't understand -- picture would help a lot
 
  • #7
u need to know the slope
 
  • #8
The picture is in the post above.

"Determine the x and y coordinates to where the ball strikes the slope."

The ball doesn't land on a flat surface. The ground is raised by an angle of 26(degrees) to the horizontal.

I hope that clears it up alittle better.
 
Last edited:

Related to Finding X & Y Coordinates of Ball Thrown from Building on Slope

What is the formula for finding the X and Y coordinates of a ball thrown from a building on a slope?

The formula for finding the X and Y coordinates of a ball thrown from a building on a slope is:
X = Vx * t
Y = Vy * t - 0.5 * g * t^2
Where Vx is the initial velocity of the ball in the X direction, Vy is the initial velocity of the ball in the Y direction, t is the time since the ball was thrown, and g is the acceleration due to gravity (9.8 m/s^2).

What is the significance of the slope in the formula for finding the X and Y coordinates?

The slope in the formula represents the angle at which the building is inclined. This angle affects the initial velocities of the ball in both the X and Y directions, which ultimately determines the trajectory of the ball.

How does air resistance affect the accuracy of the X and Y coordinates calculated using this formula?

Air resistance can affect the accuracy of the X and Y coordinates calculated using this formula because it introduces a force that acts in the opposite direction of the ball's motion. This can slow down the ball and change its trajectory, making the calculated coordinates less accurate.

Are there any assumptions made in this formula that may affect the accuracy of the calculated coordinates?

Yes, there are a few assumptions made in this formula that may affect the accuracy of the calculated coordinates. These include assuming a constant acceleration due to gravity, neglecting air resistance, and assuming a flat surface with no other external forces acting on the ball.

Can this formula be used to calculate the coordinates of a ball thrown from a building on a slope in real-life situations?

This formula can be used to calculate the coordinates of a ball thrown from a building on a slope in ideal conditions, but it may not be accurate in real-life situations. Factors such as air resistance, wind, and uneven surfaces can affect the ball's trajectory and therefore the calculated coordinates. It is important to consider these factors and make appropriate adjustments to the formula for more accurate results.

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