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A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, is
  • a)
    t= (u/g)(sin2 θ - cos2 θ)
  • b)
    t = (u/g)(sinθ - cosθ)
  • c)
    t = (u/g)(cosθ - sinθ)
  • d)
    t = (u/g)(cosθ + sinθ)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A projectile is projected at an angle θ(> 45°) with initi...
If a projectile is projected at an angle, it means that it is launched with an initial velocity in both the horizontal and vertical directions. The angle at which it is launched determines the ratio of the initial velocities in each direction.

The motion of the projectile can be analyzed by breaking it down into its horizontal and vertical components.

The horizontal motion of the projectile is constant and unaffected by gravity. It moves at a constant velocity in the x-direction.

The vertical motion of the projectile is affected by gravity. It moves in an arc, following a parabolic trajectory.

The time it takes for the projectile to reach its highest point (the apex of its trajectory) can be calculated using the vertical component of the initial velocity and the acceleration due to gravity.

The total time of flight of the projectile can be calculated using the time it takes to reach the highest point and the time it takes to fall back to the ground.

The range of the projectile (the horizontal distance it travels) can be calculated using the horizontal component of the initial velocity, the total time of flight, and the horizontal velocity of the projectile.

The maximum height reached by the projectile can be calculated using the vertical component of the initial velocity and the time it takes to reach the highest point.

These calculations can be made using the equations of motion and trigonometry.
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A projectile is projected at an angle θ(> 45°) with initi...
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A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, isa)t= (u/g)(sin2 θ - cos2 θ)b)t = (u/g)(sinθ - cosθ)c)t = (u/g)(cosθ - sinθ)d)t = (u/g)(cosθ + sinθ)Correct answer is option 'B'. Can you explain this answer?
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A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, isa)t= (u/g)(sin2 θ - cos2 θ)b)t = (u/g)(sinθ - cosθ)c)t = (u/g)(cosθ - sinθ)d)t = (u/g)(cosθ + sinθ)Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, isa)t= (u/g)(sin2 θ - cos2 θ)b)t = (u/g)(sinθ - cosθ)c)t = (u/g)(cosθ - sinθ)d)t = (u/g)(cosθ + sinθ)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, isa)t= (u/g)(sin2 θ - cos2 θ)b)t = (u/g)(sinθ - cosθ)c)t = (u/g)(cosθ - sinθ)d)t = (u/g)(cosθ + sinθ)Correct answer is option 'B'. Can you explain this answer?.
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