Question

A ball is launched from the surface of a planet. Air resistance and other frictional forces are neglected. The graph shows the position of the ball every 0.20 s.

a. Use this graph to determine:
I. The components of the initial velocity of the ball


II. The angle to the horizontal the ball was launched at


III. The acceleration of free fall on this planet.




b. Make a copy of the graph and draw two arrows to represent the velocity and the acceleration vectors of the ball at t = 1.0 s.







c. The ball is now launched under identical conditions from the surface of a different planet where the acceleration due to gravity is twice as large. Draw the path of the ball on your graph.

Answer 1

The components of the initial velocity can be determined by analyzing the graph. The graph of the ball's horizontal velocity is a straight line with a constant slope. The graph of the ball's vertical acceleration versus time can be determined by finding the slope of the graph at various points.

Step-by-step explanation:

Answer:

a. To determine the components of the initial velocity, we need to analyze the graph. The horizontal component of the initial velocity can be determined by finding the initial slope of the graph. The vertical component of the initial velocity can be determined by finding the vertical displacement of the ball at the starting point and dividing it by the time taken to reach that point.

b. The graph of the ball's horizontal velocity is a straight line with a constant slope. This indicates that the horizontal velocity of the ball is constant throughout its motion.

c. To draw the graph of the ball's vertical acceleration versus time, we need to analyze the graph. The acceleration can be determined by finding the slope of the graph at various points.