Read each statement below carefully and state with reasons and examples, if it is true or false, A particle in one-dimensional motion:
a) with zero speed at an instant may have non-zero acceleration at that instant,
b)with zero speed may have non-zero velocity,
c)with constant speed must have zero acceleration,
d)with positive value of acceleration must be speed-ing up.

Read the statement carefully.A particle in one - dimensional motion with zero speed at any instant may have non zero acceleration at that instant.Define instantaneous acceleration.

Read the statement carefully.A particle in one - dimensional motion with zero speed at any instant may have non zero acceleration at that instant.Suggestan example to make the above statement clear.

Read the statement carefully.A particle in one - dimensional motion with zero speed at any instant may have non zero acceleration at that instant.Write the calculus notation for Instantaneous acceleration.

Read each statement below carefully and state with reasons,if it is true or false: a)the magnitude of a vector is always a scalar. b)Each component of a vector is always a scalar. c)The total path length is always equal to the magnitude of the displacement vector of a particle. d)the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time. e)three vectors not lying in a plane can never add up to give a null vector.

Uniform circular motion is a special case of two dimensional motion having centripetal acceleration. a)Define centripetal acceleration. b)Can a body have acceleration with constant speed?Explain. c)Express angular velocity in terms of angular displacement.