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# Projectile Motion Lab

By Lindsay Kraus, Mackenzie Rayburn, Emma Minnis, and Alex Gambrell

by

Tweet## Lindsay Kraus

on 12 October 2012#### Transcript of Projectile Motion Lab

By Lindsay Kraus, Mackenzie Rayburn, Emma Minnis, and Alex Gambrell Projectile Motion Lab Projectile Motion Purpose: The goal of the projectile motion lab was to use knowledge of vectors in order to find final velocity, maximum height, and distance.

Hypothesis: If we find the initial velocity, time, and angle then we can determine the final velocity, maximum height, and distance.

Problem: Can you find the information such as the velocity and distance of a projectile in motion based on the initial velocity of the object shot and the time it took to hit the ground? Purpose, Hypothesis, and Problem Short Range Projectile

Metal Ball

Time-of-Flight Accessory

Start Timer

Meter Stick

Time Gates Apparatus Procedure Velocity in Y Direction Graphs

The velocity is negative towards the end because the ball eventually reached a maximum height and then dropped back down to the ground Analysis of Data Position Graphs

You can see the parabola shape in the position. The top point is the maximum height Analysis of Data Velocity in X Direction Graphs

The velocity is constant. Analysis of Data In this experiment, we calculated various factors such as maximum height, distance, and final velocity by observing the launch of a metal ball. We used knowledge about triangles from the arch of the launched ball to find measurements. The ball was launched at different angles: 20, 45, and 50 degrees and at three strengths. We were able to observe the distance of which the ball landed from the launcher as well as the time of flight. Data of all the information found Data Conclusion The purpose of this lab is to determine the distance, the maximum velocity, the maximum height, and the velocity in both the X and Y direction from finding the information found from shooting a ball at different distances and measuring the time. We were able to find the distance, the maximum height, and the velocities in the X and Y direction based on the time and the initial velocity. After we found this information we graphed the results. You could see the parabola shaped curve in the position graphs. The maximum height we found is at the top of each position graph. We then used an equation to find the velocity in the X and Y direction. We did this for each angle (20, 45, and 50 degrees). The velocity in the X direction is constant because gravity is the only force acting on the object. (we did not include air resistance). The velocity in the Y direction is negative because the ball reaches a maximum height and then drops, which is a negative velocity. We could have made errors with the position of the shooter. If it moved a little or the angle slightly changed it would give a wrong answer. We proved that our hypothesis was true. A real world example of this would be shooting a rocket. It makes the same curve in a bigger setting. First we set up the launcher to find the initial velocity. We did this by measuring the distance between the two time gates. We shot the ball and found the time. Using this information, we found the initial velocity. For the first trial, we loaded the Short Range Launcher with the metal ball at the highest strength at a 20 degree angle. Then, we placed the Time-of-Flight Pad on the ground where the ball would land. We measured the distance from the Launcher to the Pad and then recorded the time it took for the ball to travel that distance. We did this for the Short, Medium, and Long range on the launcher. For the following trials, we altered the angles from 20 to 45 to 50 degrees. All the while, we recorded the time. We ended up with 3 different times for each angle: one was for long, short, and medium range. Afterward, we used multiple equations to find the final velocity in the X and Y direction, maximum height, and the distance. We graphed the results. Example of Each Equation Calculations

Full transcriptHypothesis: If we find the initial velocity, time, and angle then we can determine the final velocity, maximum height, and distance.

Problem: Can you find the information such as the velocity and distance of a projectile in motion based on the initial velocity of the object shot and the time it took to hit the ground? Purpose, Hypothesis, and Problem Short Range Projectile

Metal Ball

Time-of-Flight Accessory

Start Timer

Meter Stick

Time Gates Apparatus Procedure Velocity in Y Direction Graphs

The velocity is negative towards the end because the ball eventually reached a maximum height and then dropped back down to the ground Analysis of Data Position Graphs

You can see the parabola shape in the position. The top point is the maximum height Analysis of Data Velocity in X Direction Graphs

The velocity is constant. Analysis of Data In this experiment, we calculated various factors such as maximum height, distance, and final velocity by observing the launch of a metal ball. We used knowledge about triangles from the arch of the launched ball to find measurements. The ball was launched at different angles: 20, 45, and 50 degrees and at three strengths. We were able to observe the distance of which the ball landed from the launcher as well as the time of flight. Data of all the information found Data Conclusion The purpose of this lab is to determine the distance, the maximum velocity, the maximum height, and the velocity in both the X and Y direction from finding the information found from shooting a ball at different distances and measuring the time. We were able to find the distance, the maximum height, and the velocities in the X and Y direction based on the time and the initial velocity. After we found this information we graphed the results. You could see the parabola shaped curve in the position graphs. The maximum height we found is at the top of each position graph. We then used an equation to find the velocity in the X and Y direction. We did this for each angle (20, 45, and 50 degrees). The velocity in the X direction is constant because gravity is the only force acting on the object. (we did not include air resistance). The velocity in the Y direction is negative because the ball reaches a maximum height and then drops, which is a negative velocity. We could have made errors with the position of the shooter. If it moved a little or the angle slightly changed it would give a wrong answer. We proved that our hypothesis was true. A real world example of this would be shooting a rocket. It makes the same curve in a bigger setting. First we set up the launcher to find the initial velocity. We did this by measuring the distance between the two time gates. We shot the ball and found the time. Using this information, we found the initial velocity. For the first trial, we loaded the Short Range Launcher with the metal ball at the highest strength at a 20 degree angle. Then, we placed the Time-of-Flight Pad on the ground where the ball would land. We measured the distance from the Launcher to the Pad and then recorded the time it took for the ball to travel that distance. We did this for the Short, Medium, and Long range on the launcher. For the following trials, we altered the angles from 20 to 45 to 50 degrees. All the while, we recorded the time. We ended up with 3 different times for each angle: one was for long, short, and medium range. Afterward, we used multiple equations to find the final velocity in the X and Y direction, maximum height, and the distance. We graphed the results. Example of Each Equation Calculations