Simple Projectile Motion I'm sure

[Todd88]

Homework Statement

A group of physics students are conducting an experiment in projectile motion. They want to launch a ball into a bucket that is 8 m away from their spring-loaded launcher. They have hypothesized that by setting their launcher to its long-range setting and placing the launcher barrel at a 35 degree angle that they can consistently hit the bucket when they fire the launcher. Ignoring air resistance, calculate the time of flight for the ball in their experiment.

Homework Equations

x=x0+V0xt
Vy=V0y-gt
y=y0+V0yt-1/2gt^2
x=(V0cos(theta))t
y=(V0sin(theta))t-1/2gt^2
Vx=V0cos(theta)0
Vy=V0sin(theta)-gt

The Attempt at a Solution

Not sure but I know this is simple. I am just brain dead right now because I am really sick but I need to get this done for tomorrow. I think you find the time using the y-components...

 

[LowlyPion]

You know the angle θ. You know that Vox = 8m / T = Vo*Cos35

You also know that VoSinθ is vertical velocity.

From V = Vo - g*T

you know then that time of flight is

VoSin35 - g*T/2 = -VoSin35 or T = 2VoSin35/g

Since T in both equations is equal then you can determine Vo and then you can figure the total time.

 

[nlightner]

I would recommend that you take some time to rest and recover before attempting to complete this experiment. It is important to prioritize your health and well-being.

In terms of the experiment, it is important to consider the initial conditions and assumptions being made. Ignoring air resistance may not accurately reflect real-world conditions, so it would be beneficial to also conduct the experiment with air resistance included.

To calculate the time of flight, you can use the equations provided and plug in the given values. You will need to determine the initial velocity (V0) and the angle (theta) in order to solve for the time (t). It may also be helpful to plot the motion of the ball on a graph to visualize the trajectory and confirm the results.

Additionally, to ensure consistency, it would be beneficial to repeat the experiment multiple times and take an average of the results. This will help to minimize any errors or variations in the data.

Overall, it is important to carefully plan and conduct the experiment, and to take into account any potential sources of error. Good luck with your experiment!