Answer:
The closest choice to the answer is 34.0 m
Explanation:
Projectile Motion
It's the type of motion experienced by an object that is launched near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and g=9.8m/s^2 the acceleration of gravity, then the Range or maximum horizontal distance traveled by the object is:
[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]
The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:
[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}[/tex]
[tex]\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m[/tex]
The closest choice to the answer is 34.0 m
