How to Calculate Projectile Motion Using Horizontal and Vertical Equations?

AI Thread Summary
To calculate projectile motion, use the vertical equation y = -(1/2)g(t^2) to determine time and compare it to the actual recorded times for percent error. The horizontal motion can be analyzed using x = v0*t to find the initial velocity. Given the height of 1.04 m and the distance of 2.98 m, apply the equations accordingly. Theoretical calculations will provide insights into the expected outcomes. Utilizing online physics calculators can further assist in solving these equations effectively.
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Zero Launch Angle Lab

We used a spring loaded gun and shot a ball out of it.

Here's the data:

three trials:
1.78 seconds
1.34 seconds
1.39 seconds

the distance traveled was the same for each trial:
2.98 meters

the height is 1.04 m


FIND:
1. percent error on time.

2. theoretical horizontal avg

3. initial velocity


I have no idea how to find what my teacher wants. In fact, no one in my class knows. I need help. Anything is appreciated.
 
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If you need me to provide any more information, let me know. I'm probably going to pull an all-nighter trying to figure this out. I think I should use the equation y=(-1/2)g(t^2). Any suggestions, advice, or guidance APPRECIATED! thank you.
 
You need to calculate the motion in the horizontal and vertical directions. This is assuming you shot the projectile vertically from the height indicated.
x = v0*t
y = -(1/2)*g*t^2

So you would use the vertical equation to calculate time:
t = sqrt(2 * y / g)
t = sqrt(2 * 2.98 / 9.8)

Compare that value to the real time to get precent error on time.

Then use the horizontal equation to calculate the initial velocity:
v0 = x/t

Here's a link to some physics calculators that helped me out for solving it.
http://bluesolver.com/subjects/Kinematics/

Hope that helps.
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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