Question

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Answer 1

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:

$\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}$

The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:

$\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}$

$\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m$

The closest choice to the answer is 34.0 m