How do you determine the ymax? I know you have to use Q which I have values that were given to me as well as vo values but I am not sure what to do with these values.
Physics - drwls, Saturday, September 15, 2012 at 1:29am
Define your terms.
I have no idea what you are talking about
For an experiment on projectile motion using a ball, we were given values of vo(initial speed m/s), t(flight time in seconds), and the real distance X in meters from a computer. We launched the ball from three different angles, 0, 30 and 45 degrees. All of these angles were launched at a height of 1.005 m (yo value).
Then we had to use our measured values of Q, vo to determine the ymax for a figure shown in the lab book. The figure just shows the two equations along with the symbols for each and what they mean so I am not sure how to calculate the ymax for each angle
Using the equations
y=y0 + (vo sin Q)t - 1/2gt^2 and
x = vo cos Q X t
we had to calculate x and then t and compare each to are measured values
To determine the ymax (maximum height) for each angle in projectile motion, you can follow these steps:
1. Start with the equation: y = y0 + (vo sin Q)t - (1/2)gt^2.
2. Identify the known values in the equation:
- vo: initial speed of the projectile (provided).
- Q: launch angle of the projectile (provided).
- y0: initial height of the projectile (1.005 m, provided).
- t: flight time of the projectile (provided).
- g: acceleration due to gravity (approximately 9.8 m/s^2).
3. Plug in the known values into the equation:
ymax = y0 + (vo sin Q)(t/2) - (1/2)g(t/2)^2.
4. Simplify the equation by squaring t/2:
ymax = y0 + (vo sin Q)(t/2) - (1/2)g(t^2)/4.
5. Calculate the ymax value for each angle by substituting the respective values of Q and t. Repeat this calculation for each angle (0, 30, and 45 degrees) using their corresponding values of Q and t.
It's important to note that the value of ymax may vary depending on the angle at which the ball is launched. Therefore, you need to calculate ymax separately for each angle.
Remember to always double-check your calculations and units to ensure accuracy.