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A body is projected from the ground at an angle of 45° with the horizontal. Its velocity after 2 s is 20 ms-1. The maximum height reached by the body during its motion is ________ m. (Use g = 10 ms-2). (In integers)
    Correct answer is '20'. Can you explain this answer?
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    A body is projected from the ground at an angle of 45° with the ho...
    Degrees with the horizontal. Neglecting air resistance, the body will follow a parabolic path. The distance traveled by the body and the time taken to reach the maximum height can be calculated using the following equations:

    - Range (R) = (v^2/g)*sin(2θ)
    - Time of flight (T) = 2v*sin(θ)/g

    Where v is the initial velocity of the body, θ is the angle of projection, and g is the acceleration due to gravity (approximately 9.81 m/s^2).

    Assuming the initial velocity to be 10 m/s, we can calculate the range and time of flight as follows:

    - R = (10^2/9.81)*sin(90) = 102.03 meters
    - T = 2*10*sin(45)/9.81 = 1.45 seconds

    Therefore, the body will travel a distance of 102.03 meters and reach the maximum height in 1.45 seconds.
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    Community Answer
    A body is projected from the ground at an angle of 45° with the ho...

    ⇒ v cosα = u cos45° ...(i)
    And v sinα = usin45° - gt ...(ii)
    Solve for u.
    u = 20√2m/s
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