a soccer ball is kicked on the ground at 8m/s. another player is standing 30 m away.
if she needs to intercept it at 20m - how much time does she have and how fast must she run?
"30 cm away" does not adequately describe her location relative to the path of the ball.
Assuming the ball is kicked toward the other player:
The ball reaches the 20m point in t = 20/8 = 2.5 sec. meaning the receiver must run at the speed of 10/2.5 = 4m/s to intercept the ball in the same 2.5sec. time period.
To calculate the time and speed required for the player to intercept the soccer ball, we need to use the concept of relative motion.
Let's break down the problem step by step:
Step 1: Calculate the time the soccer ball takes to travel 20 meters (the distance the player needs to intercept it).
The distance formula is given by:
Distance = Speed × Time
Given:
Distance = 20 m
Speed of the soccer ball = 8 m/s
Rearranging the formula to solve for time:
Time = Distance / Speed
Substituting the given values:
Time = 20 m / 8 m/s = 2.5 seconds
So, the player has 2.5 seconds to intercept the soccer ball.
Step 2: Calculate the speed at which the player needs to run to cover a distance of 30 meters in 2.5 seconds.
The speed formula is given by:
Speed = Distance / Time
Given:
Distance = 30 m
Time = 2.5 seconds
Substituting the given values:
Speed = 30 m / 2.5 s = 12 m/s
Therefore, the player needs to run at a speed of 12 m/s to intercept the soccer ball.