Calculating Distance Dropped of Horizontally Thrown Ball

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In summary, the problem involves finding the distance a ball will drop due to gravity by the time it reaches home plate after being thrown horizontally at 135 km/h for 18.3 m. The solution involves converting units, finding time, and using the equation for vertical displacement. The answer should be negative based on the chosen coordinate system.
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jessicax07
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Homework Statement



A pitcher throws horizontally a fast ball at 135 km/h toward home plate, which is 18.3 m away. Neglecting air resistance (not a good idea if you are the batter), find how far the ball drops because of gravity by the time it reaches home plate.


Homework Equations



vox = vo
y = voy*t+1/2(-g)t2

The Attempt at a Solution



First I changed km/h to m/s and got 37.5. Then I found t and got 0.488s. Then I plugged it into the equation above and got 1.166. It was wrong though. Should it be negative or did I do it wrong?
 
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  • #2
Hello. I'll preface my response here by saying that you'll probably get more replies to this type of problem if you post in the introductory physics forum. Advanced physics is usually, but not limited to, upper level undergraduate questions.

Yes, your answer should be negative based on the coordinate system you've made. Even the math says it will be negative.
 
  • #3
thank you!
 

FAQ: Calculating Distance Dropped of Horizontally Thrown Ball

How can you calculate the distance dropped of a horizontally thrown ball?

The distance dropped of a horizontally thrown ball can be calculated using the formula: d = (1/2)g(t^2), where d is the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time the ball is in the air.

What is the initial velocity of the horizontally thrown ball?

The initial velocity of the horizontally thrown ball is the velocity at which the ball is thrown, which is typically provided in the question or can be measured using a speedometer. It is usually denoted by the letter u.

Is the angle of throw important in calculating the distance dropped?

No, the angle of throw is not important in calculating the distance dropped of a horizontally thrown ball. This is because the distance dropped is only affected by the time the ball is in the air and the acceleration due to gravity, not the initial angle of the throw.

Can this formula be used for any object thrown horizontally?

No, this formula is specifically for calculating the distance dropped of a ball thrown horizontally. Other objects may have different formulas for calculating their distance dropped, depending on factors such as air resistance and their shape.

Is there any margin of error in this calculation?

Yes, there may be a slight margin of error in the calculation due to factors such as air resistance, the curvature of the Earth, and the precision of the measurements used. However, for most practical purposes, this formula provides a fairly accurate estimation of the distance dropped of a horizontally thrown ball.

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