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A 2000 kg space probe is moving rightward in empty space along the x axis at 12 m/s. One of the probe’s rockets is fired providing a thrust of 1800j N along the y axis. The rocket fires for 1.5 s.
How can I derive the equation for the trajectory of the probe during the time the rocket is fired using the formula y = a function of x and compute the final speed of the rocket at the end of the 1.5 s?

  • physics - ,

    Write and solve separate differential equations for the x and y coordinates, during the rocket firing. You will end up with separate equations for x and y.

    Once you have those functions, try to write y as a function of x. The Vx velocity component will remain 12 m/s.
    That means x = 12 t, if position is measured from the time zero location.

    Then derive a separate equation for Vy = dy/dt

    The speed is sqrt[Vx^2 + Vy^2] = sqrt[144 + Vy^2]

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