University:
University of Pennsylvania
Course:
PHYS 0101 | General Physics: Mechanics, Heat and Sound
Academic year:

2024
Views:

345

Pages:

2
Author:

Carissa Thomas

PAL Problem Set 5 (Motion in 1D Graphs) Always explain your answers and show your work. Motion with constant speed For each of the three motions described below, ● ● ● Draw a motion diagram; Draw a position vs. time diagram (label the curve for each student); Draw a velocity vs. time diagram (label the curve for each student); Student 1 starts at the origin and moves in the positive x-direction with constant speed v . Student 2 starts at a positive initial position (call it x2i ) and moves with constant speed v towards the origin. Student 3 starts at a negative initial position (call it x3i ) and moves with constant speed v /2 towards a positive final position. Motion with changing speed For each of the two motions described below, ● ● ● Draw a motion diagram; Draw a position vs. time diagram (label the curve for each student); Draw a velocity vs. time diagram (label the curve for each student); Student 4 starts at the origin and speeds up at a constant rate towards a positive xf 4 position. Student 5 starts at a positive xi5 position that is equal to the final position of student 4 xi5 = xf 4 and slowly speeds up towards the origin. Students 4 and 5 have the same final speed (hint: same speed doesn’t necessarily mean the same velocity) About the position vs. time graphs: Note the initial positions of each student - student 4 starts at x4i = 0 , student 5 starts at a positive position. The final positions are reversed - student 4 ends where student 5 starts and vice-versa. The position graphs must be parabolas because the speed of both students is constantly changing. About the velocity vs. time graph: Both students start from rest. The speed of both increases constantly (i.e., linearly). Student 4 is moving in the positive direction so their velocity is always positive. Student 5 is moving in the negative direction so their velocity is always negative.