Question

A football is kicked with an initial speed of 11.0 m/s, at an angle of 35degrees above the horizontal across horizontal ground.

(Assume air resistance is negligible)
What is the range of the ball?

Answer 1

The range of the ball is 11.6 meters

Step-by-step explanation:

Projectile Motion

It's the type of motion that experiences an object launched with an initial angle 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 the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:

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

The football is kicked with an initial speed of vo=11 m/s at an angle of θ=35°.

Calculating the range:

`\displaystyle d={\frac {11^(2)\sin(2\cdot 35^\circ)}{9.8}}`

`\displaystyle d={\frac {121\sin(70^\circ)}{9.8}}`

d = 11.6 m

The range of the ball is 11.6 meters