(a) An object with a velocity, v, falls under gravity from rest (t = 0, v...

 

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(a) An object with a velocity, v, falls under gravity from rest (t = 0, v = 0) as defined by: Where m is the objects mass (i) Find an expression for v as a function of time (ii) Find the terminal velocity (t→∞o) when m = 3kg dv m = mg - 3v dt Find the general solution for the following equation: dy d²y +4- = -5y dx² dx Determine the particular integrals of: Where f(x) = 2x + 2 d²y dy dx² - - + 4y = f(x) dx an [ [E [6 (a) An object with a velocity, v, falls under gravity from rest (t = 0, v = 0) as defined by: Where m is the objects mass (i) Find an expression for v as a function of time (ii) Find the terminal velocity (t→∞o) when m = 3kg dv m = mg - 3v dt Find the general solution for the following equation: dy d²y +4- = -5y dx² dx Determine the particular integrals of: Where f(x) = 2x + 2 d²y dy dx² - - + 4y = f(x) dx an [ [E [6