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Class 10 Class 12

The position of a particle is given by

where t is in second and r is in meter.
(a) Find the  of the particle.
(b) What is the magnitude and direction of velocity of the particle at t = 2s?

(a)

Given,

Position of the particle,

Velocity,

and,

Acceleration,

(b) Now,

Velocity,

At time = 2 sec,

∴

and

At t = 2 sec,

Acceleration,

∴         and directed towards negative direction of X-axis.

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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

814 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views