Recent content by Chris T.

  1. Chris T.

    Relative motion of two cars (velocity and acceleration)

    Homework Statement Cars A and B are traveling on adjacent roads. Car A travels at a speed of 70 mi/h in the positive y direction, and its acceleration is zero. Car B travels along a circular path of radius 0.7 mi, and has a velocity of 50 mi/h at an angle of 30 degrees right of vertical. Car...
  2. Chris T.

    Escape Velocity, with varying acceleration as a(y)

    After integration, I find v^2 = 2g(R^2)/(R+y) + C. Is it valid to say that C is zero because v is zero as y goes to infinity?
  3. Chris T.

    Escape Velocity, with varying acceleration as a(y)

    So using the substitution a = vdv/dy and the given equation for acceleration, then separating variables, I should be able to integrate both sides and solve for velocity with respect to y. Let me try that.
  4. Chris T.

    Escape Velocity, with varying acceleration as a(y)

    Homework Statement Find: The minimum initial velocity at which a projectile should be shot vertically from the surface of the Earth so that it does not fall back to Earth. Note: This requires that v=0 as y approaches infinity. Homework Equations a = -g[(R^2)/((R+y)^2)] g = 9.81 m/s^2 R =...
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