# Calculating the Distance Dropped by a Baseball Thrown at 116 km/h

• shenwei1988
In summary, we have a pitcher throwing a baseball at 116 km/h towards home plate which is 18.4 m away. Using the given values of gravity (9.81 m/s^2) and velocity (116 km/h or 32.22 m/s), we can calculate that the ball will take approximately 0.57 seconds to reach home plate. To determine the vertical distance (or drop) of the ball, we can use the equation \Deltay = \frac{1}{2}gt^2. Plugging in the values, we get a drop of approximately 8.81 meters.
shenwei1988
a) A pitcher throws a baseball horizontally at 116 km/h toward home plate, which is 18.4 m away. How far will the ball drop due to gravity by the time it reaches home plate?

g=9.81m/s^2
v=116km/h

i tried to solve this question, but i don't know where to get the high.
116km/h=32.22m/s
18.4/32.22=0.57s
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Basically, the question that it is asking is that it wants you to find how far the ball dropped since it left the pitcher's hand. What I did was that i wrote out all my horizontal givens and my vertical givens and I just solved for $$\Delta$$y after I got all the other information.

Hello,

I understand your confusion with this question. Let me explain how to calculate the distance dropped by the baseball due to gravity using the given information.

First, we need to convert the velocity of the baseball from kilometers per hour (km/h) to meters per second (m/s). This can be done by multiplying the velocity by 1000/3600, which gives us 32.22 m/s.

Next, we can use the formula d= ½ * g * t^2, where d is the distance dropped, g is the acceleration due to gravity (9.81 m/s^2), and t is the time taken for the ball to travel the given distance.

We already know the time, which is 0.57 seconds (calculated by dividing the distance of 18.4 meters by the velocity of 32.22 m/s).

So, plugging in the values in the formula, we get d= ½ * 9.81 * (0.57)^2 = 1.61 meters.

Therefore, the ball will drop 1.61 meters due to gravity by the time it reaches home plate.

I hope this helps to clarify the question and the process of calculating the distance dropped. Keep up the good work with your scientific thinking!