Calculus
posted 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)

Calculus 
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
Respond to this Question
Similar Questions

math
A softball diamond is a square with sides of 60 feet long. How far is home plate to second base? 
math
A baseball player hits a line drive to center field. As he rounds second base, he heads directly for third, running at 20 ft/sec. How fast is the distance from the rnner to home plate changing when he is halfway to third base? 
Cal 1
A trough is 10 ft long and 2.6 ft across the top. Its ends are isosceles triangles with an altitude of 2.1 ft and vertex down. Water is being pumped into the trough at a rate of 2.4 ft3/min. How fast is the water level rising when … 
Calculus
A Baseball Diamond has the shape of a square with sides 90 feet long. a player is running from 1st to 2nd base at a speed of 25 feet per second. find the rate at which his distance s is from home plate is changing when the player is … 
Geometry
a baseball diamond is a square wiht 4 right angles and all sides congruent. wrte a two column proof to prove that eh distance from first base to third base is the same as the distance from home plate to second base. write a two column … 
Calculus
A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 ft/sec. At what rate is the player's distance from home base increasing when he is half way from first to second base? 
calculus
A baseball player is running from the at 20 ft/sec. At what rate is his distance from the home plate changing when he is 30 ft from the third base. The baseball diamond is a square 90 ft on a side. 
calculas
can anyone help me with this question? A baseball diamond is a square whose sides are 90 ft long. Suppose that a player running from second base to third base has a speed of 30 ft/sec at the instant when he is 20 ft from the third 
geometry
It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. … 
Math
A baseball diamond has the shape of a square with sides 90ft long. A player 60ft from second base is running towards third base at a speed of 28ft/min. At what rate is the playerâ€™s distance from the home plate changing?