Question

PLS ANSWER ASAP!!

A player punts a football at an angle of 30 degrees with an initial velocity of 20.0
m/s. What is the max range of the ball horizontally?
O 34.0 m
O24.0 m
8.30 m
0 20.0 m

Answer 1

The closest choice to the answer is 34.0 m

Step-by-step 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