Question

Can a goalkeeper at her/his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s.

Can the goalkeeper kick the ball into the opponent's goal without it touching the ground?
a) Yes
b) No

Answer 1

Yes, the goalkeeper can kick the ball into the opponent's goal without it touching the ground.

Step-by-step explanation:

Yes, the goalkeeper can kick the ball into the opponent's goal without it touching the ground. To determine if it's possible, we need to consider the projectile motion of the ball.

Since the goalkeeper can give the ball a speed of 30 m/s, it has an initial vertical velocity of 0 m/s (since it's kicked horizontally) and an initial horizontal velocity of 30 m/s.

Using the kinematic equation for horizontal distance, we can calculate the time it takes for the ball to travel 95 m:

Horizontal distance = Initial horizontal velocity x Time

95 m = 30 m/s x Time

Time = 95 m / 30 m/s

= 3.17 s

Since the ball is in the air for 3.17 seconds and the speed is constant, the goalkeeper can kick the ball into the opponent's goal without it touching the ground.