Physicss

posted by .

1. Carlos jogs in a straight line at a constant speed of 1.5 m/s. He passes by Victoria, who, 10 seconds after Carlos had passed her, starts accelerating at a constant rate of 0.50 m/s^2

a) How much time after the passing of Carlos does it take Victoria to catch up to him?

b) What distance did they travel?

  • Physicss -

    Assuming that Victoria was standing still when Carlos passed her, we have the following equations, calling t=0 when he passes her:

    Carlos: s = 1.5t
    Victoria: s = .25(t-10)^2

    set them equal to find when they have traveled the same distance -- that is, when she passes him.

    1.5t = .25(t^2 - 20t + 100)
    1.5t = t^2/4 - 5t + 25
    t^2/4 - 6.5t + 25 = 0
    t^2 - 26t + 100 = 0
    t = 13 ± √69
    t = 4.7, 21.3

    Since Victoria does not start till t=10, the only answer is 21.3, or 11.3 seconds after she started running.

    Plug in times to get distances.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Child Care

    Carlos is playing in the sandbox. Thomas approches the sandbox, observes Carlos for a moment, then knocks over the bucket Carlos has just filled with sand. Carlos pushes Thomas away saying, Get out of here. Thomas begins to cry. How …
  2. Child Care

    Carlos is playing in the sandbox. Thomas approches the sandbox, observes Carlos for a moment, then knocks over the bucket Carlos has just filled with sand. Carlos pushes Thomas away saying, " Get out of here." Thomas begins to cry. …
  3. Child Care

    Carlos is playing in the sandbox. Thomas approches the sandbox, observes Carlos for a moment, then knocks over the bucket Carlos has just filled with sand. Carlos pushes Thomas away saying, " Get out of here." Thomas begins to cry. …
  4. Math

    Romeo and Juliet are moving in the xy-plane. Juliet starts at the point (0,20( and moves in a straight line at a constant speed. She will pass through the origin in exactly 5 seconds. Romeo starts at the same time from the point (30,0) …
  5. Physics

    1. Carlos jogs in a straight line at a constant speed of 1.5 m/s. He passes by Victoria, who, 10 seconds after Carlos had passed her, starts accelerating at a constant rate of 0.50 m/s^2 a) How much time after the passing of Carlos …
  6. physics

    An electron ( mass = 9.11×10−31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 1.85 cm away. It reaches the grid with a speed of 2.95×10^6 m/s …
  7. physics

    Runner A is running at a constant rate of 2.3 m/s when he passes RUmmer B who is stationary. Runner A continues running at a constant pace, and Runner B begins to run 4 seconds after Runner A just passes him. If Runner B is accelerating …
  8. Physics

    Runner A is running at a constant rate of 2.3 m/s when he passes runner B who is stationary. Runner A continues running at a constant pace, and Runner B begins to run 4 seconds after Runner A just passes him. If Runner B is accelerating …
  9. dynamics

    a motorcycle traffic police starts from rest at point A two seconds after a car speeding at the constant rate of 120 km/h passes point A (where speed limit is 100 km/h only) if the policeman accelerates at the rate of 6 m/s^2 until …
  10. Calculus

    A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes under the balloon, it is 5 feet above him. Determine how fast the distance between the boy …

More Similar Questions