How Do You Calculate DeltaX in Projectile Motion?

[DanielP]

Hello fellow forum trolls,

I am currently pondering about this physics problem that was assigned to me on a day I was not in school and I have some confusion on the process in which to solve it.


Essentially we have to cannon out a metal ball through a hoop a certain distance away.

We know the initial velocity of the ball, The DeltaY of the hoop, and we have control over the DeltaX. To pass the project we must determine where to set the Hoop in respect to the launcher to get the ball through.

so far my data goes as follows

The launcher is at 30 degrees launching out at a velocity of 5.85

....X....Y
Vi...5.073 m/s...2.92 m/s
Vf...5.073 m/s
D......| .265m
a...0...-9.8 m/s^2
t


So my questions are,

For my final velocity of Y i got 3.711 but I feel that it doesn't seem write. I used the formula v^2=Vo^2+2a(DeltaY)

After that I cannot figure out how to find DeltaX

If you could point me in the write direction or help check my work that would be amazing.

Thanks for your help

 

[learningphysics]

So delta Y is 0.265m?

It appears you took a as +9.8m/s^2 instead of -9.8m/s^2... when finding the final velocity...

What I'd do is first find the path of the projectile in the form y = f(x)...

You have your two displacement equations:

x = vocos(theta)*t

y = vosin(theta)*t - (1/2)gt^2

try to get an equation with just x and y... then plug in the y value you need and solve for x... you'll get 2 answers.

 

[m2003]

Hello there,

I would first like to commend you for taking on this physics problem and seeking help when needed. It is important to understand the concepts and equations involved in order to solve problems accurately.

To solve this problem, we can use the kinematic equations of motion. Since we know the initial velocity (Vi) and the acceleration (a), we can use the equation y = Vi*t + (1/2)*a*t^2 to find the final position in the y-direction (DeltaY).

Using the given data, we can plug in the values and solve for t. Once we have the value of t, we can use it to find the final velocity in the y-direction (Vf) using the equation Vf = Vi + a*t.

Now, to find DeltaX, we can use the equation x = Vi*t + (1/2)*a*t^2. Since we know the initial velocity (Vi) and the time (t), we can solve for DeltaX.

Remember to pay attention to the units when solving equations. In this case, the units for time should be in seconds (s) and the units for velocity should be in meters per second (m/s).

I hope this helps guide you in the right direction. If you need further assistance, don't hesitate to ask. Keep up the good work!