Question

a soccer player practices kicking the ball into the goal from halfway down the soccer field. the time it takes for the ball to get to the goal from the time it is kicked averages about three seconds. the soccer field is 90 meters long. the player wants to know the average velocity of the ball. is there enough information to calculate this? no, only average speed can be calculated from the distance of 90 meters and the time of three seconds. yes, displacement is 90 meters, elapsed time is three seconds, and the direction is toward the goal. yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal. no, only average speed can be calculated from the distance of 45 meters and the time of three seconds.

Explanation:

Step1: Calculate displacement

The player kicks from halfway, so displacement \(d=\frac{90}{2} = 45\) meters.

Step2: Recall velocity formula

Average velocity \(v=\frac{\text{displacement}}{\text{time}}\). Here, displacement is 45 meters (toward the goal, giving direction), time \(t = 3\) seconds. Since velocity requires magnitude (from displacement and time) and direction (toward the goal), we can calculate it. While speed is \(\frac{\text{distance}}{\text{time}}\) (if we used 90 meters as distance, but displacement is 45). So the correct option is the one with displacement 45 meters, time 3 seconds and direction.

Answer:

Yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal.