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Class 10 Class 12
A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/hr. the jeep follows it at a speed of 108 km/hr; crossing the turning 10 seconds later than the bike. Assuming that they travel at a constant speeds, how far from the turning will the jeep catch up with the bike.

Speed of the motorbike  = 72 km/hr  = 20 m/s

Speed of police jeep = 108 km/hr = 30 m/s

Let the jeep catch up with the bike after t seconds.

Therefore,

30 t = 20 ( t + 10)

t = 20 sec

Distance travelled by jeep in 20 sec,

s =30 x 20 = 600 m

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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

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

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

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Give three examples of vector quantities.

Force, impulse and momentum.
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