Research Question: How does time effect the the position of the ball.
Independent Variable: Time (seconds)
Dependent variable: Position (meters)
Controls: The ball, position of the camera, and perspective
Materials:
- Phone camera
- Ball
- Video Analysis
- Put a camera on a stagnant object and press play
- throw the ball so that it is in the frame
- Use video analysis to create a graph with the data collected
Horizontal Raw Data (X represents time in seconds and y represents horizontal position in meters)
Vertical Raw Data (X represents time in seconds and y represents vertical position in meters)
Graph for Horizontal Data (X represents time in seconds and y represents horizontal position in meters)
Graph for Vertical Data (X represents time in seconds and y represents vertical position in meters)
Graph equations:
Graph Analysis:
From the Horizontal graph we learn that the velocity is constant in the horizontal direction. From the vertical Graph if we look at the equation, we see that the value for A^2 in the quadratic equation is around 4.9^2. This proves that our data is correct because 4.9^2 is the same as 9.8 which is the value for gravity and we know that gravity is the constant vertical force on all projectiles.
- Horizontal position vs time - f(x)= 2.980x-8.009
- Vertical position vs time - f(x)= -4.964x^2+29.19x-41.37
Graph Analysis:
From the Horizontal graph we learn that the velocity is constant in the horizontal direction. From the vertical Graph if we look at the equation, we see that the value for A^2 in the quadratic equation is around 4.9^2. This proves that our data is correct because 4.9^2 is the same as 9.8 which is the value for gravity and we know that gravity is the constant vertical force on all projectiles.