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A man rides a jet boat with a speed of 4...

A man rides a jet boat with a speed of `40 km//hr` in the north -east direction and the shore line makes an angle of `10^(@)` south of east . Find the component of the velocity of the jet boat
(i) along the shoreline and
(ii) perpendicular to the shoreline .

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To solve the problem, we need to find the components of the velocity of the jet boat in two directions: along the shoreline and perpendicular to the shoreline. ### Step-by-Step Solution: 1. **Identify the Given Information:** - Speed of the jet boat, \( v = 40 \, \text{km/hr} \) - Direction of the jet boat: North-East (which is at an angle of \( 45^\circ \) from the East). - The angle of the shoreline with respect to the East: \( 10^\circ \) South of East. ...
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MODERN PUBLICATION-MOTION IN A PLANE -Revision Exercises (Numerical Problems)
  1. Find a vector which is parallel to vector vecA=4 hati-3 hatj and hav...

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  2. An aeroplane takes off at an angle of 60^(@) to the vertical .If the c...

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  3. A man rides a jet boat with a speed of 40 km//hr in the north -east di...

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  4. For the vector vecA=a hati+2hatj-hatj and vecB =2ahati-ahatj+4hatk to ...

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  5. Under the effect of a force vecF=5hati-2 hatj+3hatkN, abody of mass 1 ...

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  6. For three vectors , vecX, vecY and vecZ, vecZ=vecX+vecY and |vecX|=12,...

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  7. The resultant of vectors vecA=3hati+4hatj+5hatk and vecB =5hati+3 hatj...

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  8. For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk, calculate ...

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  9. Determine the value of alpha for which the vectors i-3alphahatj+hatk a...

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  10. Determine a unit vector perpendicular to both the vectors vecA=2hati-3...

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  11. The magnitude of two vectors vecA and vecB is 3 and 4 respectively . ...

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  12. Find the area of the triangle determined by two vectors: vecA=hati-3ha...

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  13. The diagonals of a parallelogram are given by -3hati+2hatj-4hatk and -...

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  14. The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ ...

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  15. From the top of a hill 480 m high , a projectile is fired horizontally...

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  16. A body is projected horizontally with a velocity of 39.4m//s from the ...

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  17. Two hills of height 100 m and 80 m have a valley of breadth 15 between...

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  18. A particle is projected with a velocity of 25 m//s at an angle of 30^...

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  19. Find the angle of projection of a projectile for which the horizontal ...

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  20. A batman hits a cricket ball with a speed of 25 m//s at a projection a...

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