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Motion in A Plane

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Physics Part I

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Class 10 Class 12
A cyclist starts from the centre O of a circular track of radius 1 km, reaches the edge A of the track and then cycles along the circumference and stops at point B. If the total time taken is 10 minutes, what is the a) average velocity b) average speed of the cyclist. 

a) Displacement in 10 min (=1/6 hr) = OB = r = 1 km


Average velocity = fraction numerator 1 space km over denominator 1 divided by 6 space straight h end fraction space equals space 6 space k m divided by h r
b) Distance travelled in 1/6 hr = 0 to A (along radius)  + A to B (along the arc)

                                              = r + rπ over 3

                                              = 1 km + 1 km + fraction numerator 22 over denominator 7 space straight x space 3 end fraction

                                               = 2.05 km


Averge speed = fraction numerator 2.05 over denominator left parenthesis 1 divided by 6 right parenthesis straight h space end fraction = 12.30 km/hr


Give three examples of vector quantities.

Force, impulse and momentum.

What is a scalar quantity?

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

Give three examples of scalar quantities.

Mass, temperature and energy

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. 


What is a vector quantity?

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