A ball hit by a player too 2.4s to reach the short stop from home plate. If the short stop threw the ball to first base at a speed of 20m/s, a distance of 30m, how long would the runner have to make it to first base and arrive at the same time as the ball.
(the answer is in seconds...)
To find out how long the runner would have to make it to first base and arrive at the same time as the ball, we need to calculate the time it would take for the ball to reach first base.
Given:
Time taken by the ball to reach the short stop = 2.4 seconds
Speed of the throw from the short stop to first base = 20 m/s
Distance from the short stop to first base = 30 meters
To calculate the time it takes for the ball to reach first base, we can use the formula:
Time = Distance / Speed
First, let's calculate the time taken by the ball to travel from the short stop to first base:
Time taken by the ball = Distance / Speed
Time taken by the ball = 30m / 20m/s
Time taken by the ball = 1.5 seconds
Therefore, it takes the ball 1.5 seconds to reach first base from the short stop.
Now, to find out how long the runner would have to make it to first base and arrive at the same time as the ball, we subtract the time taken by the ball from the total time taken for the ball to reach the short stop from home plate.
Time taken by the runner = Total time taken by the ball - Time taken by the ball to reach first base
Time taken by the runner = 2.4 seconds - 1.5 seconds
Time taken by the runner = 0.9 seconds
So, the runner would have to make it to first base within 0.9 seconds to arrive at the same time as the ball.