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A Particle is projected from ground at an angle theta with horizontal with speed u . The ratio of Radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is ..........

A Particle is projected from ground at an angle theta with horizontal with speed u . The ratio of Radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is ..........

Grade:12th pass

2 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
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ankit singh
askIITians Faculty 614 Points
one year ago

 

Given that,
Angle θ=450
Horizontal distance x=10m
Vertically distance y=7.5m
Acceleration due to gravity g=10m/s2
Now,
  y=(tanθ)x−(2u2cos2θg​)x2
 7.5=1×10−(2u2×21​)10​×100
 7.5−10=−u21000​
 u2=2.51000​
 u=20m/s

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