Looking at your sketch, how do you expect the ball’s horizontal acceleration to change with time? Write an equation giving the ball’s horizontal acceleration as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Looking at your sketch, how do you expect the ball’s horizontal velocity to change with time? Is it consistent with your statements about the ball’s acceleration from the previous question? Write an equation for the ball’s horizontal velocity as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Write an equation for the ball’s horizontal position as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Are any of these constants related to the equations for horizontal velocity or acceleration?
Looking at your sketch, how do you expect the ball’s horizontal acceleration to change with time? Write an equation giving the ball’s horizontal acceleration as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Looking at your sketch, how do you expect the ball’s horizontal velocity to change with time? Is it consistent with your statements about the ball’s acceleration from the previous question? Write an equation for the ball’s horizontal velocity as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Write an equation for the ball’s horizontal position as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Are any of these constants related to the equations for horizontal velocity or acceleration?
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*PLEASE ANSWER QUESTIONS #4, #5, and #6*
- Make a sketch of the trajectory of a ball after it has been thrown. Draw the ball in at least five different positions; two when the ball is going up, two when it is going down, and one at its maximum height. Label the horizontal and vertical axes of your coordinate system.
- On your sketch, draw and label the expected acceleration vectors of the ball (relative sizes and directions) for the five different positions. Decompose each acceleration vector into its vertical and horizontal components.
- On your sketch, draw and label the velocity vectors of the object at the same positions you chose to draw your acceleration vectors. Decomposes each velocity vector into its vertical and horizontal components. Check to see that the changes in the velocity vector are consistent with the acceleration vectors.
- Looking at your sketch, how do you expect the ball’s horizontal acceleration to change with time? Write an equation giving the ball’s horizontal acceleration as a function of time. Graph this equation. If there are constants in your equation, what
kinematic quantities do they represent? How would you determine these constants from your graph? - Looking at your sketch, how do you expect the ball’s horizontal velocity to change with time? Is it consistent with your statements about the ball’s acceleration from the previous question? Write an equation for the ball’s horizontal velocity as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph?
- Write an equation for the ball’s horizontal position as a function of time. Graph this equation. If there are constants in your equation, what kinematic quantities do they represent? How would you determine these constants from your graph? Are any of these constants related to the equations for horizontal velocity or acceleration?
- Repeat Warm-up questions 4-6 for the vertical component of the acceleration, velocity, and position. How are the constants for the acceleration, velocity, and position equations related?
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