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This guide provides a comprehensive overview of displacement and its significance in kinematics, specifically in one dimension. Displacement is defined as the change in position of a particle, incorporating both distance and direction. Through practical examples, such as a student's movement and the calculation of net displacement, learners can grasp the concept effectively. Additionally, the guide discusses average speed, average velocity, and motion diagrams that illustrate the relationship between displacement and time, enhancing the understanding of particle motion.
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Displacement v In the study of kinematics, we consider a moving object as a particle. Kinematics in One Dimension (Phy 2053) vittitoe
Displacement The displacement of a particle is defined as its change in position. x (m) -6 -4 -2 0 2 4 6 Dx = x - xo = 6 m - 2 m = 4 m (West)
Displacement The displacement of a particle is defined as its change in position. x (m) -6 -4 -2 0 2 4 6 Dx = x - xo = -4 m-2m = -4 m (East) Dx = x - xo = 6 m -2 m = 4 m (west) distance =? ….travels 2m to 6m = 4m, then travels from 6m to -4m, which is 10m Total distance x = 14m
Displacement The displacement of a particle is defined as its change in position. x (m) -6 -4 -2 0 2 4 6 Dx = x - xo = (2 m) - (-6 m) = 8 m (west)
Displacement 70 m West 30 m East 40 m East Displacement A student walks 70 m East, then walks 30 km West. What is the magnitude of the students net displacement? A) 30 m B) 40 m C) 70 m D) 100 m
Velocity Average speed The average speed of a particle is defined as
Velocity Average velocity The average velocity of a particle is defined as
Motion Diagrams The displacement versus time for a certain particle moving along the x axis is shown below. Find the average velocity in the time intervals (a) 0 to 2 s (b) 0 to 4 s (c) 2 s to 4 s (d) 4 s to 7 s (e) 0 to 8 s. Kinematics in One Dimension (Phy 2053) vittitoe
Motion Diagrams (con’t) The displacement versus time for a certain particle moving along the x axis is shown below. Find the average velocity in the time intervals (a) 0 to 2 s (b) 0 to 4 s (c) 2 s to 4 s (d) 4 s to 7 s (e) 0 to 8 s. Kinematics in One Dimension (Phy 2053) vittitoe
Motion Diagrams (con’t) The displacement versus time for a certain particle moving along the x axis is shown below. Find the average velocity in the time intervals (a) 0 to 2 s (b) 0 to 4 s (c) 2 s to 4 s (d) 4 s to 7 s (e) 0 to 8 s. Kinematics in One Dimension (Phy 2053) vittitoe
Motion Diagrams (con’t) The displacement versus time for a certain particle moving along the x axis is shown below. Find the average velocity in the time intervals (a) 0 to 2 s (b) 0 to 4 s (c) 2 s to 4 s (d) 4 s to 7 s (e) 0 to 8 s. Kinematics in One Dimension (Phy 2053) vittitoe
Motion Diagrams (con’t) The displacement versus time for a certain particle moving along the x axis is shown below. Find the average velocity in the time intervals (a) 0 to 2 s (b) 0 to 4 s (c) 2 s to 4 s (d) 4 s to 7 s (e) 0 to 8 s. Kinematics in One Dimension (Phy 2053) vittitoe