A soccer player kicks a soccer ball. The ball travels 20 meters before landing on the ground. The ball stayed in the air for 5 seconds. What is the average speed of the ball? *

4 meters per second

Explanation:

D) 20 m/s

The ball is kicked upwards at an angle of 60° to the horizontal, meaning that its initial velocity is a combination of both horizontal and vertical components. The best way to solve this velocity is to find its horizontal component (vx) first.

We are told in the passage that the ball is shot into the goal from a distance of 20 meters and that it takes 2 seconds for the ball to travel this horizontal distance. So, if we apply the equation vx = dx/t, and plug in the numbers from the passage, we have:

vx=dx/t=20m/2s=10m/s

Now that we have the horizontal velocity, we can use the angle concerning the ground at which the ball was kicked to determine the total initial velocity, as shown below:

vicosθ=vx→vi=vx/cos(60°)=(10 m/s)/(1/2)=20m/s

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