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Two guns are situated at the top of a hill firing the shots at the same speed. One gun fires the shot horizontally and other gun fires the shot at an angle of `60^@` with horizontal. Two two shots collide in air. If the time taken by horizontal shot to reach the point of collision in `3 seconds`, find the time interval between two shots.

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To solve the problem, we need to analyze the motion of the two shots fired from the guns. We will denote the initial speed of both shots as \( u \). ### Step 1: Analyze the horizontal shot The first gun fires a shot horizontally. The time taken by this shot to reach the point of collision is given as \( t_1 = 3 \) seconds. The horizontal distance traveled by this shot can be expressed as: \[ x_1 = u \cdot t_1 = u \cdot 3 \] This is our **Equation 1**. ...
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CENGAGE PHYSICS ENGLISH-KINEMATICS-2-Exercise 5.2
  1. A body is projected horizontally from the top of a tower with initial ...

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  2. A man standing on the roof a house of height h throws one particle ver...

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  3. A staircase contains three steps each 10 cm high and 20 cm wide figure...

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  4. For a given velocity of projection from a point on the inclined plane,...

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  5. A shell is fired from a gun from the bottom of a hill along its slope....

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  6. The maximum range of a rifle bullet on the horizontal ground is 6 km. ...

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  7. A motorcycle stunt rider rides off the edge of a cliff. Just at the ed...

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  8. An object is thrown between two tall buildings 180 m from each other. ...

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  9. A fighter plane moving with a speed of 50 sqrt(2) m s^-1 upward at an ...

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  10. A bullet is fired from the bottom of the inclined plane at angle theta...

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  11. Two paper screens A and B are separated by 150 m. A bullet pierces A a...

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  12. Two stones A and B are projected simultaneously from the top of a 100 ...

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  13. On an inclined plane two particles A and B are projected with same spe...

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  14. A particle is projected with velocity v at an angle theta aith horizon...

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  15. The horizontal range (R ) of a projectile becomes (R + 2 H) from R due...

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  16. A boy is running along positive x - axis with 9 m//s. While running he...

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  17. Two guns are situated at the top of a hill firing the shots at the sam...

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  18. A ball is thrown horizontally from the top of a tower and strikes the ...

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  19. A particle is projected on an inclined plane with a speed u as shown i...

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  20. There are three paths a,b and c of a projectile projected from point P...

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