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A particle projected from a point P(2,0,0) m with a velocity 10 meter per sec making an angel 45 with the horizontal the plane of projectile motion passes through horizontal line PQ which makes an angel of 37 with positive X- axis X-Y plane is horizontal the co-ordinate of the point where the particle will strike the line PQ is?
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A particle projected from a point P(2,0,0) m with a velocity 10 meter ...
Projectile motion problem


Given information:


  • Point of projection: P(2,0,0) m

  • Initial velocity: 10 m/s

  • Angle of projection with horizontal: 45 degrees

  • Plane of projectile motion passes through horizontal line PQ which makes an angle of 37 degrees with positive X-axis in X-Y plane.



Calculating initial velocity components:


  • Horizontal component of initial velocity (ux) = u cos(45) = 7.07 m/s

  • Vertical component of initial velocity (uy) = u sin(45) = 7.07 m/s



Calculating time of flight:


  • Time of flight (T) = (2 * uy) / g = 1.44 s (where g = 9.8 m/s2 is acceleration due to gravity)



Calculating range:


  • Range (R) = ux * T = 10.2 m



Calculating height:


  • Height (H) = uy2 / (2 * g) = 2.55 m



Calculating intersection point:


  • Line PQ can be represented as y = x * tan(37) (since it makes an angle of 37 degrees with positive X-axis)

  • Substituting x = R and y = H, we get H = R * tan(37)

  • Solving these equations, we get the intersection point as (7.14, 2.55, 0) m (approx)



Final answer:


  • The particle will strike the line PQ at the point (7.14, 2.55, 0) m (approx).

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A particle projected from a point P(2,0,0) m with a velocity 10 meter ...
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A particle projected from a point P(2,0,0) m with a velocity 10 meter per sec making an angel 45 with the horizontal the plane of projectile motion passes through horizontal line PQ which makes an angel of 37 with positive X- axis X-Y plane is horizontal the co-ordinate of the point where the particle will strike the line PQ is?
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A particle projected from a point P(2,0,0) m with a velocity 10 meter per sec making an angel 45 with the horizontal the plane of projectile motion passes through horizontal line PQ which makes an angel of 37 with positive X- axis X-Y plane is horizontal the co-ordinate of the point where the particle will strike the line PQ is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle projected from a point P(2,0,0) m with a velocity 10 meter per sec making an angel 45 with the horizontal the plane of projectile motion passes through horizontal line PQ which makes an angel of 37 with positive X- axis X-Y plane is horizontal the co-ordinate of the point where the particle will strike the line PQ is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle projected from a point P(2,0,0) m with a velocity 10 meter per sec making an angel 45 with the horizontal the plane of projectile motion passes through horizontal line PQ which makes an angel of 37 with positive X- axis X-Y plane is horizontal the co-ordinate of the point where the particle will strike the line PQ is?.
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