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Simulating bouncing with different gravity mm For this homework assignment, you will write a simplified model of a bouncing ball using nurnpy. Assume the ball is dropped on Earth under constant acceleration g : 9.81% from the limit of its atmosphere, a height of 250km. Model the ball's motion for one hour and 15 minutes [include second 0 and second 4, 500 in your data points]. After the initial state, simulate 5.000 updates to the state [for a total of 5, 001 points.) Your simulation should use float64 numpy arrays for time [t] and height [y]. Time should be represented in seconds and height should be represented in meters. Note that because the initial velocity is zero, y[B] and y[1] will both be 250,000 when you set up the simulation per our numerical scheme. Boundng To simulate bouncing, we'll make some simplifying assumptions [since collision detection can be complicated]. If the balls height is ever less than or equal to 0, we wiLl assume that the ball hit the ground before the time step we are simulating and already started bouncing. You should: 0 instantly set its height to o 0 update its velocity to 90% (0.9) of its velocity and reverse the direction of travelin this case, please use the nowcurrent velocity, i.e.,vc[ 1. j = -e_9 * VC[ 1] Count the number of times the ball bounces in an integer variable named bounces. Plotting y v. t may be useful for you to understand what results your code is producing

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Simulating bouncing with different gravity For this homework assignment, you will write a simplified model of a bouncing ball using numpy. Assume the ball is dropped on Earth under constant acceleration g = 9.81m from the limit of its atmosphere, a height of 250km. Model the ball's motion for one hour and 15 minutes [include second 0 and second 4, 500 in your data points). After the initial state, simulate 5,000 updates to the state [for a total of 5, 001 points.] Your simulation should use float64 numpy arrays for time [t] and height [y]. Time should be represented in seconds and height should be represented in meters. Note that because the initial velocity is zero, y[e] and y[1] will both be 250,000 when you set up the simulation per our numerical scheme. 10 points Bouncing To simulate bouncing, we'll make some simplifying assumptions [since collision detection can be complicated). If the ball's height is ever less than or equal to o, we will assume that the ball hit the ground before the time step we are simulating and already started bouncing. You should: instantly set its height to o update its velocity to 90% (0.9) of its velocity and reverse the direction of travel-in this case, please use the now-current velocity, i.e., vc[i]= -0.9 * vc[i] Count the number of times the ball bounces in an integer variable named bounces. Plotting y v. t may be useful for you to understand what results your code is producing. Simulating bouncing with different gravity For this homework assignment, you will write a simplified model of a bouncing ball using numpy. Assume the ball is dropped on Earth under constant acceleration g = 9.81m from the limit of its atmosphere, a height of 250km. Model the ball's motion for one hour and 15 minutes [include second 0 and second 4, 500 in your data points). After the initial state, simulate 5,000 updates to the state [for a total of 5, 001 points.] Your simulation should use float64 numpy arrays for time [t] and height [y]. Time should be represented in seconds and height should be represented in meters. Note that because the initial velocity is zero, y[e] and y[1] will both be 250,000 when you set up the simulation per our numerical scheme. 10 points Bouncing To simulate bouncing, we'll make some simplifying assumptions [since collision detection can be complicated). If the ball's height is ever less than or equal to o, we will assume that the ball hit the ground before the time step we are simulating and already started bouncing. You should: instantly set its height to o update its velocity to 90% (0.9) of its velocity and reverse the direction of travel-in this case, please use the now-current velocity, i.e., vc[i]= -0.9 * vc[i] Count the number of times the ball bounces in an integer variable named bounces. Plotting y v. t may be useful for you to understand what results your code is producing.

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Solutions Step 1 Solution First of all I will discuss basic concepts related to the topic The basic concept related to the question is the simulation of a bouncing ball using numerical methods To help ... View the full answer