A particle having zero Reshma and non zero energy and Momentum must travel with a speed

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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 speeding up.

Q. 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 speeding up.

Q. Assertion: A body with zero mechanical energy can have no momentum, but a body with zero momentum can have mechanical energy.
Reason: Mechanical energy can either be the sum of kinetic energy and potential energy or exist individually.

Q. STATEMENT A- Linear momentum of a system of particles is zero.
STATEMENT B- Kinetic energy of system of particles is zero.

Q. If the total mechanical energy of a particle is zero, is its linear momentum necessarily zero? Is it necessarily nonzero?

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