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A football player kicks a ball at ball a...

A football player kicks a ball at ball at an angle of `30 ^(0)` with the horizontal with an initial speed of `20 m//s`. Assuming that the ball travels in a vertical plane, calculate (a) the time at which the ball reaches the highest point (b) maximum height reached (c ) the horizontal range of the ball (d) the time for which the ball is in air. `g =10 m//s^(2)`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will break down the motion of the football into its horizontal and vertical components. ### Given Data: - Initial speed (u) = 20 m/s - Angle of projection (θ) = 30° - Acceleration due to gravity (g) = 10 m/s² ### Step 1: Resolve the initial velocity into components ...
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Knowledge Check

  • A ball is projected at an angle 60^(@) with the horizontal with speed 30 m/s. What will be the speed of the ball when it makes an angle 45^(@) with the horizontal ?

    A
    30 m/s
    B
    `15sqrt2m//s`
    C
    `(15)/(sqrt2)m//s`
    D
    `30sqrt2m//s`

  • A gun projects a ball at the angle of 46^@ with the horizontal. If the horizontal range is 39.2 m, then the ball will rise to

    A
    9.8 m
    B
    4.9 m
    C
    2.45 m
    D
    19.6 m

  • A gun projects a ball at the angle of 46^@ with the horizontal. If the horizontal range is 39.2 m, then the ball will rise to

    A
    9.8 m
    B
    4.9 m
    C
    2.45 m
    D
    19.6 m

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