What is the speed of the pitch?

In summary, to determine the pitching speed of a baseball player standing on a 4.0 m ledge and throwing a ball horizontally, the vertical motion can be ignored and the horizontal velocity can be calculated using the distance of 25 m and the time it takes for the ball to hit the ground. This calculation, however, does not take into account air resistance which can greatly affect the actual pitching speed.
  • #1
SirajK
1
0

Homework Statement


A baseball player friend of yours wants to determine his pitching speed. You have him stand on a ledge and throw horizontally from an elevation 4.0 m above the ground. The ball lands 25 m away. What is his pitching speed?

Homework Equations


Kinematics Equations:
http://www.google.ca/imgres?imgurl=...AAzT5KPLeL30gHW3JDFBw&ved=0CD8Q9QEwAg&dur=255
 
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  • #4
sjb-2812 said:
Are you sure R should be 25 here?

I'm never sure, 8^)

What do you think it should be?
 
  • #5
Your "kinematic equations" refer to the vertical motion only. You say the ball is thrown horizontally so the initial vertical component is 0. The height of the ball, at time t, is [itex]y= (1/2)(9.81)t^2+ 4[/itex]. Set that equal to 0 (the ball hits the ground) and solve for t to find when the ball hits the ground.

Taking "v" as the horizontal component of velocity, the distance the ball traveled, in time t, is given by x= vt. Put x= 25, t equal to the time you solved for above, and solve for v.

That, of course, is ignoring air resistance- which is fairly large for a baseball.
 
  • #6
Spinnor said:
I'm never sure, 8^)

What do you think it should be?

Maybe it's the way the question is worded, but the figure of 25 to me seems to be the hypotenuse, rather than the adjacent for the triangle?


HallsofIvy said:
Your "kinematic equations" refer to the vertical motion only. You say the ball is thrown horizontally so the initial vertical component is 0. The height of the ball, at time t, is [itex]y= (1/2)(9.81)t^2+ 4[/itex]. Set that equal to 0 (the ball hits the ground) and solve for t to find when the ball hits the ground.

Taking "v" as the horizontal component of velocity, the distance the ball traveled, in time t, is given by x= vt. Put x= 25, t equal to the time you solved for above, and solve for v.

That, of course, is ignoring air resistance- which is fairly large for a baseball.

Check your signs here :)
 
  • #7
You wrote,

"Maybe it's the way the question is worded, but the figure of 25 to me seems to be the hypotenuse, rather than the adjacent for the triangle?"

On second reading I agree, thanks for the correction.
 

Related to What is the speed of the pitch?

What is the speed of the pitch?

The speed of the pitch refers to the velocity at which a thrown ball travels towards the batter in a game of baseball. It is typically measured in miles per hour (mph).

How is the speed of the pitch measured?

The speed of the pitch is measured using a radar gun, which emits microwaves to calculate the speed of the ball as it passes by. This technology is also used in other sports such as tennis and cricket.

What is the average speed of a pitch?

The average speed of a pitch in professional baseball is around 90-95 mph, but it can vary depending on the pitcher's strength and technique.

Can the speed of the pitch be controlled by the pitcher?

Yes, the speed of the pitch can be controlled by the pitcher through their arm strength, release point, and grip on the ball. They can also vary the speed of their pitches to throw off the batter's timing.

Does the speed of the pitch affect the game?

The speed of the pitch can greatly affect the outcome of a game as it can make it more difficult for the batter to hit the ball. A faster pitch is also more challenging for the catcher to catch, potentially resulting in errors or stolen bases by the opposing team.

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