Motion in 1 Dimension. v  In the study of kinematics, we consider a moving object as a particle. A particle is a point-like mass having infinitesimal.

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Motion in 1 Dimension

v  In the study of kinematics, we consider a moving object as a particle. A particle is a point-like mass having infinitesimal size and a finite mass. Motion in One Dimension (2048)

0246 22 44 66 x Displacement Motion in 1 Dimension The displacement of a particle is defined as its change in position. (m)  x = x f  x i = 5 m  0 m = 5 m Note: Motion to the right is positive Motion in One Dimension (2048)

0246 22 44 66 x Displacement Motion in 1 Dimension The displacement of a particle is defined as its change in position. (m)  x = x f  x i =  6 m  5 m =  11 m Note: Motion to the left is negative Motion in One Dimension (2048)

0246 22 44 66 x Displacement Motion in 1 Dimension The displacement of a particle is defined as its change in position. (m)  x = x f  x i = (  1 m)  (  6 m) = 5 m Note: Motion to the right is positive Motion in One Dimension (2048)

Motion in 1 Dimension Average velocity The average velocity of a particle is defined as x t x1x1 x2x2 t1t1 t2t2 xx tt Velocity is represented by the slope on a displacement-time graph Motion in One Dimension (2048)

Motion in 1 Dimension Average speed The average speed of a particle is defined as Motion in One Dimension (2048)

Motion in 1 Dimension Instantaneous velocity The instantaneous velocity v, equals the limiting value of the ratio dx dt x t Instantaneous velocity is represented by the slope of a displacement-time graph Motion in One Dimension (2048)

Motion in 1 Dimension Instantaneous speed The instantaneous speed of a particle is defined as the magnitude of its instantaneous velocity. Motion in One Dimension (2048)

Motion in 1 Dimension Average acceleration The average acceleration of a particle is defined as the change in velocity  v x divided by the time interval  t during which that change occurred. v t v1v1 v2v2 t1t1 t2t2 vv tt Acceleration is represented by the slope on a velocity-time graph Motion in One Dimension (2048)

Motion in 1 Dimension Instantaneous acceleration The instantaneous acceleration equals the derivative of the velocity with respect to time dv dt v t Instantaneous acceleration is represented by the slope of a velocity-time graph Motion in One Dimension (2048)

t x t v t a Displacement, velocity and acceleration graphs The slope of a velocity-time graph represents acceleration The slope of a displacement-time graph represents velocity

t x t v t a tt The area under an acceleration-time graph represents change in velocity. vv The area under a velocity-time graph represents displacement. xx

Motion in 1 Dimension Definitions of velocity and acceleration Instantaneous acceleration Instantaneous velocity Average velocity Average acceleration Motion in One Dimension (2048)

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