In college softball, the distance from the pitcher's mound to the batter is 43 feet.If the ball leaves the bat at 110 mph, how much time elapses between the hit and the ball reaching the pitcher?
time= distance/velocity
change 110miles/hr to ft/sec
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110miles/hr in ft/sec
To calculate the time it takes for the ball to travel from the batter to the pitcher, we need to use the distance and speed formula:
time = distance / speed.
In this case, the distance from the pitcher's mound to the batter is given as 43 feet, and the speed at which the ball leaves the bat is 110 mph.
First, let's convert the speed from miles per hour to feet per minute, as it will make the calculation easier. There are 5,280 feet in a mile and 60 minutes in an hour, so we multiply the speed by 5,280 to convert it to feet per hour.
110 mph * 5280 ft/mi = 580,800 ft/hr.
Next, we convert from feet per hour to feet per minute by dividing the result by 60.
580,800 ft/hr / 60 min/hr = 9,680 ft/min.
Now, let's calculate the time it takes for the ball to travel from the batter to the pitcher using the formula:
time = distance / speed.
time = 43 ft / 9,680 ft/min.
Calculating this division, the answer is:
time = 0.0044 minutes.
To convert minutes to seconds, we multiply by 60:
0.0044 minutes * 60 s/min = 0.264 seconds.
Therefore, it takes approximately 0.264 seconds for the ball to travel from the batter to the pitcher after being hit.