Aplayer kicks a soccer ball in a high arc toward the opponent's goal. at the highest point in its trajectory a) both the velocity and the acceleration of the soccer ball are zero. b) neither the ball's velocity nor its acceleration are zero. c) the ball's velocity points downward. d) the ball's acceleration points upward. e) the ball's acceleration is zero but its velocity is not zero.

b) True. The horizontal speed is different from zero and the vertical acceleration is different from zero

Explanation:

Let's analyze the problem using the two-dimensional kinematic equations specifically for projectile launches.

As the ball is on the ground, it pulls it at all times with an acceleration directed to the center of the earth, specifically the acceleration of gravity.

At the highest point of the trajectory the ball does not rise any more, so the vertical speed is zero. In general, on the x-axis (horizontal) the friction force can exist, which in many cases can be neglected, but there is a horizontal velocity.

Now let's analyze if the statements are correct.

a) False. We saw that the horizontal speed is different from zero

b) True. The horizontal speed is different from zero and the vertical acceleration is different from zero

c) False. The vertical speed is zero, so the speed is horizontal that points in the direction of the x-axis

d) False. The acceleration is vertical

e) False. The acceleration is not zero

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