Equation For Velocity Time Relation

Derive the following relations for uniformly accelerated motion. Velocity-time relation

An object is moving in a straight line with uniform acceleration a, the velocity-time relation is

Establish the eqaution for position time relation (i.e., s = ut + (1)/(2)at^(2) ) using velocity time graph. How is the equation modified when (i) a body is just dropped from some height, (ii) a body is thrown vertically upwards with some velocity ?

Derive the equation for Velocity - displacement relation.

The first equation of motion gives relation between……and time.

Equation for displacement-time relation

Define relaxation time of the free electrons drifiting in a conductor. Establish a relation between drift. Velocity and time of relaxation. Use this relation to deduce the expression for the electrical resistivity of the material.

Obtain velocity - time relation and velocity - position relation for a uniformly accelerated motion.