Kinematics Summary
Summary - The difference between kinematics and dynamics Concept of a point object Meaning of rest and motion Motion in one, two, and three dimensions with examples Definitions of displacement, uniform velocity, variable velocity, average velocity, speed and ..
Expression for Velocity Vector
Expression for Velocity Vector - The curved line in the figure represents the trajectory of a particle. Let the particle be at P at time t. The position of p with reference to origin O is given by . Let the particle be at Q at time (t + D t). The position of Q with reference to P is given..
Expression for Velocity Vector - The curved line in the figure represents the trajectory of a particle. Let the particle be at P at time t. The position of p with reference to origin O is given by . Let the particle be at Q at time (t + D t). The position of Q with reference to P is given..Resultant velocity of oblique projectile
In the figure above, the projectile is at p at time t. Let v be the resultant velocity of the projectile at time t. This velocity is along the tangent to the trajectory at point p. Again, the motion in the horizontal direction is uniform. Therefore, the horizontal component ..
In the figure above, the projectile is at p at time t. Let v be the resultant velocity of the projectile at time t. This velocity is along the tangent to the trajectory at point p. Again, the motion in the horizontal direction is uniform. Therefore, the horizontal component ..Case of Uniform Velocity
A particle is said to move with uniform velocity if it undergoes equal displacements in equal intervals of time, however small these intervals may be. In this case, the velocity is equal to the displacement vector per unit time interval and is given by When a parti..
A particle is said to move with uniform velocity if it undergoes equal displacements in equal intervals of time, however small these intervals may be. In this case, the velocity is equal to the displacement vector per unit time interval and is given by When a parti..Velocity-Time Graphs of Accelerated Motion
Zero acceleration - In this case, the velocity-time graph is parallel to the time-axis, as shown in the figur..
Zero acceleration - In this case, the velocity-time graph is parallel to the time-axis, as shown in the figur..Velocity-time graph for uniform motion
When a particle possesses uniform motion, its velocity-time graph is a straight line parallel to the time axis, as illustrated in the figure below. ..
When a particle possesses uniform motion, its velocity-time graph is a straight line parallel to the time axis, as illustrated in the figure below. ..Constant positive acceleration and non-zero initial velocity
This case is illustrated in the figure below, where the velocity-time graph is a straight line, sloping upwards and does not pass through the origin...
This case is illustrated in the figure below, where the velocity-time graph is a straight line, sloping upwards and does not pass through the origin...Position-time graph for uniform motion
The rate of change of position of a particle in a particular direction gives the velocity of the particle. It may also be defined as the time rate of change of displacement of a particle. Velocity is a vector quantity. A motion is said to be uniform if the particle covers equal..
The rate of change of position of a particle in a particular direction gives the velocity of the particle. It may also be defined as the time rate of change of displacement of a particle. Velocity is a vector quantity. A motion is said to be uniform if the particle covers equal.. Result
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