Find the horizontal range of a projectile launched at 15 degrees to the horizontal with speed of 40m/s​

Question

Find the horizontal range of a projectile launched at 15 degrees to the horizontal with speed of 40m/s​

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Linh Đan 4 years 2021-07-31T18:21:25+00:00 1 Answers 22 views 0

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  1. Ben
    0
    2021-07-31T18:23:15+00:00
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    To Find :

    The horizontal range of a projectile launched at 15 degrees to the horizontal with speed of 40 m/s​.

    Solution :

    The horizontal range of a projectile is given by :

    R = \dfrac{u^2 sin 2\theta}{g} ( Here, g is acceleration due to gravity = 10 m/s² )

    Putting all value in above equation :

    R = \dfrac{40^2 \times sin (2 \times 15)}{10} \ m\\\\R = \dfrac{1600 \times 1}{2\times 10} \ m\\\\R = 80 \ m

    Therefore, the horizontal range of projectile is 80 m.

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