The position as a function of time (x(t),y(t)) of a projectile fired with a speed of v0 at an angle a is given by
x(t) = v0cosa·t y(t) = v0sinα·t €“ 1/2 gt2
where g = 9.81 m/s2. The polar coordinates of the projectile at time t are (r(t), θ(t)), where r(t) = ˆšx(t)2 + y(t)2 and tanθ(t) =y(t)/x(t). Consider the case where v0 = 162m/s and α = 70°. Determine r(t) and θ(t) for t = 1, 6, 11, ... , 3ls.

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