Calculating Distance Dropped of Horizontally Thrown Ball

  • Thread starter Thread starter jessicax07
  • Start date Start date
  • Tags Tags
    Ball
jessicax07
Messages
7
Reaction score
0

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?
 
Physics news on Phys.org
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.
 
thank you!
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
Back
Top