Simple Projectile Motion I'm sure

In summary, a group of physics students are conducting an experiment in projectile motion to launch a ball into a bucket 8 m away. They hypothesize that by using a long-range setting and a 35 degree angle, they can consistently hit the bucket. To determine the time of flight, the students use equations for horizontal and vertical motion, including V = Vo - gt and T = 2VoSin35/g. By solving for Vo, they can calculate the total time of flight for the ball in their experiment.
  • #1
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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...
 
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  • #2
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.
 
  • #3


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!
 

1. What is simple projectile motion?

Simple projectile motion is the motion of an object through the air or other medium under the influence of gravity. This type of motion is characterized by a constant horizontal velocity and a vertical acceleration due to gravity.

2. What factors affect the path of a projectile?

The path of a projectile is affected by its initial velocity, the angle at which it is launched, and the force of gravity. Air resistance may also play a role in altering the path of the projectile.

3. How do you calculate the maximum height of a projectile?

The maximum height of a projectile can be calculated using the formula: h = (v^2 * sin^2θ) / 2g, where v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

4. What is the range of a projectile?

The range of a projectile is the horizontal distance it travels before hitting the ground. It can be calculated using the formula: R = (v^2 * sin2θ) / g, where v is the initial velocity and θ is the launch angle.

5. Can the shape or size of a projectile affect its motion?

Yes, the shape and size of a projectile can affect its motion. Objects with larger surface areas, such as a parachute, will experience more air resistance and therefore have a different path than smaller objects with the same initial velocity and launch angle.

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