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A particle is thrown with speed of 50 m/...

A particle is thrown with speed of `50 m//s` at an angle of projection `37^(@)` with the horizontal. Find (a) the time of flight, (b) the maximum height attained and ( c) the horizontal range.
`(sin 37^(@) = (3)/(5), cos 37^(@) = (4)/(5))`

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the equations of projectile motion. ### Given: - Initial speed, \( u = 50 \, \text{m/s} \) - Angle of projection, \( \theta = 37^\circ \) - \( \sin 37^\circ = \frac{3}{5} \) - \( \cos 37^\circ = \frac{4}{5} \) - Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \) ...
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Knowledge Check

  • If a body is thrown with a speed of 19.6m//s making an angle of 30^(@) with the horizontal,then the time of flight is

    A
    `1 s`
    B
    `2 s`
    C
    `2sqrt3s`
    D
    `5 s`
  • For an object projected from ground with speed u horizontal range is two times the maximum height attained by it. The horizontal range of object is

    A
    `(2u^(2))/(3g)`
    B
    `(3u^(2))/(4g)`
    C
    `(3u^(2))/(2g)`
    D
    `(4u^(2))/(5g)`
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