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Motion In Straight Line

Question
CBSEENPH11019929
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A police van moving on a highway with a speed of 30 km h-1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h-1. If the muzzle speed of the bullet is 150 m s-1, with what speed does the bullet hit the thief’s car ? (Note: Obtain that speed which is relevant for damaging the thief’s car).

Solution

Given, 

Speed space of space the space police space van comma space straight v subscript straight p space end subscript equals space 30 space km divided by straight h space equals space 8.33 space straight m divided by straight s Muzzle space speed space of space the space bullet comma space vb space equals space 150 space straight m divided by straight s space Speed space of space the space thief ’ straight s space car comma space straight v subscript straight t space end subscript equals space 192 space km divided by straight h space equals space 53.33 space straight m divided by straight s The space he space bullet space is space fired space from space straight a space moving space van comma therefore space resultant space speed space can space be space obtained space as colon 150 space plus space 8.33 space equals space 158.33 space straight m divided by straight s Both space the space vehicles space are space moving space in space the space same space direction. space So comma space velocity space with space which space the space bullet space hits space the space thief ’ straight s space car space is comma space straight v subscript bt space equals space straight v subscript straight b space – space straight v subscript straight t space space space space space equals space 158.33 space – space 53.33 space space space space space equals space 105 space straight m divided by straight s

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

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