RATE OF CHANGE OF VELOCITY :ACCELERATION

STATEMENT - 1 : Zero velocity of a particle does not mean zero acceleration. and STATEMENT - 2 : The moment at which velocity is zero, its rate of change may be non-zero.

Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A particle moves from A to B. Then the ratio of distance to displacement is :-

STATEMENT-1: When a particle moves in a circle with a uniform speed, it velocity and acceleration both changes. STATEMENT-2: The centripetal acceleration in circular motion is depdendent on angular velocity of the body.

Statement-I : When velocity of a particle is zero then acceleration of particle is zero. Statement-II : Acceleration is equal to rate of change of velocity.

Acceleration is defined as the rate of change of velocity. Suppose we call the rate of change of acceleration as SLAP ?. (i) What is the unit of SLAP . (ii) How can we calculate instantaneous SLAP ?

Assertion : The accelerated motion of an object may be due to change in magnitude of velocity or direction of velocity or both. Reason : Acceleration can be produed only by change in the magnitude of the velocity.

Assertion : Acceleration of a moving particle can change its direction without any change in direction of velocity. Reason : If the direction of change in velocity vector changes, the direction of acceleration vector also changes.

Assertion : Slope of momentum - time graph gives acceleration Reason : Acceleration is given by rate of change of momentum .