Question #251264
a soccer player kicks a ball at an angle of 43 degrees with a speed of 10 m per second how far from the initial position will the ball land
1
Expert's answer
2021-10-14T18:39:07-0400

Using the formula for range from here https://courses.lumenlearning.com/boundless-physics/chapter/projectile-motion/ , obtain:


R=u2sin2θgR = \dfrac{u^2\sin2\theta}{g}

where u=10m/su = 10m/s is the initial speed, θ=43°\theta=43\degree is the launch angle, g=9.8m/s2g = 9.8m/s^2 is the gravitational acceleration. Thus, have:


R=(10m/s)2sin(243°)9.8m/s210mR = \dfrac{(10m/s)^2\cdot \sin(2\cdot 43\degree)}{9.8m/s^2} \approx 10m

Answer. 10m.


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