Calculus

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)

asked by Alfonso
  1. 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

    posted by Scott

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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
  2. 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 player’s distance from the home plate changing?
  3. 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
  4. 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
  5. 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?
  6. 4 Calculus Related-Rates Problems

    1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic
  7. 4 CALCULUS study problem

    1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic
  8. 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.
  9. Ap calc

    At a football game, at the instant the ball goes into play, a player at the line of scrimmage begins running along the edge of the field at a rate of 25 ft/sec. The quarterback receives the ball and is forced into position 30 feet
  10. 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?

More Similar Questions