Consider a ball whose position in 2 dimensions is described by the equation #(1) = (4"j + 11) t + (3m – 0.75); t +(3m s2 A) What are the x(t) and y(t) functions describing the components of this motion over time? B) Make a careful y vs. x plot showing the position of the ball at the times Os, 2s, 4s, and 6s, then sketch a smooth curve connecting these points that approximates the ball’s trajectory. Be sure to label your axes. C) What is the maximum height (maximum y value) the ball gets to over this interval? You should calculate this exactly from the equations and then check that your answer is consiste with your plot. D) What is the velocity function v(t) for this motion? E) On each of the 4 points on your plot at times 0s, 2s, 4s, and 6s, draw the corresponding velocity vector so that each vector's tail starts at the position point. Since the plot is in term of position, the scale of length of the velocity vector can't be realized, but you should draw the direction of the vectors carefully given the relative size of their x and y components.

Consider a ball whose position in 2 dimensions is described by the equation #(1) = (4"j + 11) t + (3m – 0.75); t +(3m s2 A) What are the x(t) and y(t) functions describing the components of this motion over time? B) Make a careful y vs. x plot showing the position of the ball at the times Os, 2s, 4s, and 6s, then sketch a smooth curve connecting these points that approximates the ball’s trajectory. Be sure to label your axes. C) What is the maximum height (maximum y value) the ball gets to over this interval? You should calculate this exactly from the equations and then check that your answer is consiste with your plot. D) What is the velocity function v(t) for this motion? E) On each of the 4 points on your plot at times 0s, 2s, 4s, and 6s, draw the corresponding velocity vector so that each vector's tail starts at the position point. Since the plot is in term of position, the scale of length of the velocity vector can't be realized, but you should draw the direction of the vectors carefully given the relative size of their x and y components.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 64PE: (a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of...

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