Asked by Alfonso
Suppose a player is running from first to second base 20ft/s. Find rate at which distance from home plate is changing when the player is 30ft away from 2nd base?(home plate to 1st and 3rd base is 90ft)
Answers
Answered by
Scott
bases are arranged in a square, 90 ft on a side
f = home to 1st , s = distance from 1st
distance to home plate (p)
... p^2 = f^2 + s^2 = 90^2 + 60^2
2 p dp/dt = 2 s ds/dt
dp/dt = (s / p) ds/dt
f = home to 1st , s = distance from 1st
distance to home plate (p)
... p^2 = f^2 + s^2 = 90^2 + 60^2
2 p dp/dt = 2 s ds/dt
dp/dt = (s / p) ds/dt
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.