velocity and accel. vectors online study





Velocity
] Velocity is a vector quanti..
Velocity
SI unit of velocity is m/s (metre/second). [ SI unit of distance is metre and that of time is second] Velocity is a vector quantity. Note : Velocity is defined as the distance travelled in a specified direction in unit time. The distance travelled in a specif..
Expression for Velocity Vector
velocity vector calculation 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 ..
Expression for Velocity Vector
The curved line in the figure represents the trajectory of a particle. Let the particle be at P at time ..
Free vector
Free vector is that vector whose initial point or tail is not fixed. It is also known as a non-localised vector. For example, velocity vector of particle moving along a straight line is a free vector..
Equality of Vectors
> If the scales selected for the representation of three vectors are the same, then, three equal vectors are represented by three arrows of equal lengths, pointing in the same direction. If, however, the scales chosen are different, then, it is possible to represent equal v..
Vectors - Introduction
resultant displacement vector >Similarly, by referring to the figure belo..
Dot Product of Vectors and the Resolution of a Vector
It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature,..
Resultant velocity of oblique projectile
We have, Applying the law of parallelogram of vectors, Since, This equation gives the magnitude of the resultant velocity of the projectile at any time. The direction of the projectile is given by the angle equation, which the resultant velocity v makes with the horizo..
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 Wh..
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