Using data read from the file velocity-of-particle-over-time.txt?, write functions that: • find the particle’s velocity at any point • find the particle’s acceleration at any point • how steady the particle’s speed is (i.e., is it frequently speeding up or slowing down, or is it travelling roughly the same speed the entire time) The first column is time t in seconds. The second column is the x-position of the par- ticle (assume position is expressed in meters), measured once every second from time t = 0 to t = 100. The particle’s velocity at a specific point in time can be computed by taking the positional difference between every measured second. Function name: particle_velocity(). Parameters/arguments: a dictionary of times (as keys) and positions (as values) Returns: a dictionary of times (as keys) and velocities (as values) Function name: particle_acceleration() Parameters/arguments: a dictionary of times (as keys) and velocities (as values) Returns: a dictionary of times (as keys) and accelerations (as values) Function name: is_speed_steady() Parameters/arguments: a list of velocities for a particle Returns: the variation in the particle’s speed (computed using standard deviation) 1 2 2 3 2 3 4 5 4 5 6 6 7 8 7 8 9 14 15 16 11 0.069478 12 0.137694 13 0.204332 ‘4 0.269083 15 0.331656 16 0.391771 8 7 0.449167 9 8 0.503598 10 9 6.554835 ’11 10 0.602670 12 11 0.646912 12 0.687392 13 0.723961 14 0.756491 15 0.784876 16 0.809032 17 0.828897 18 0.844428 ’19 0.855608 ’21. 20 0.862439 21 0.864945 22 0.863172 23 0.857184 ’25 24 0.847067 25 0.832926 26 0.814882 28 27 .793077 29 28 0.767666 30 29 0.738824 31 30 0.7067361 17. A B 58 9 32 3 4 18 19 20.. 22.. 23 | | Show transcribed image text Using data read from the file velocity-of-particle-over-time.txt?, write functions that: • find the particle’s velocity at any point • find the particle’s acceleration at any point • how steady the particle’s speed is (i.e., is it frequently speeding up or slowing down, or is it travelling roughly the same speed the entire time)

The first column is time t in seconds. The second column is the x-position of the par- ticle (assume position is expressed in meters), measured once every second from time t = 0 to t = 100. The particle’s velocity at a specific point in time can be computed by taking the positional difference between every measured second.

Function name: particle_velocity(). Parameters/arguments: a dictionary of times (as keys) and positions (as values) Returns: a dictionary of times (as keys) and velocities (as values) Function name: particle_acceleration() Parameters/arguments: a dictionary of times (as keys) and velocities (as values) Returns: a dictionary of times (as keys) and accelerations (as values) Function name: is_speed_steady() Parameters/arguments: a list of velocities for a particle Returns: the variation in the particle’s speed (computed using standard deviation)

1 2 2 3 2 3 4 5 4 5 6 6 7 8 7 8 9 14 15 16 11 0.069478 12 0.137694 13 0.204332 ‘4 0.269083 15 0.331656 16 0.391771 8 7 0.449167 9 8 0.503598 10 9 6.554835 ’11 10 0.602670 12 11 0.646912 12 0.687392 13 0.723961 14 0.756491 15 0.784876 16 0.809032 17 0.828897 18 0.844428 ’19 0.855608 ’21. 20 0.862439 21 0.864945 22 0.863172 23 0.857184 ’25 24 0.847067 25 0.832926 26 0.814882 28 27 .793077 29 28 0.767666 30 29 0.738824 31 30 0.7067361 17. A B 58 9 32 3 4 18 19 20.. 22.. 23 | |

## Expert Answer

Answer to Using data read from the file velocity-of-particle-over-time.txt?, write functions that: • find the particle’s velocit…