Let the position vector (with its tail at the origin) of a moving particle be ~r(t) = t^(2)ˆi − 2tˆj + (t^(2) + 2t)ˆk, where ~r(t) is measured in meters and t is measured in seconds. (a) Find the acceleration vector and the magnitude of the particle at time t. (b) Find the acceleration vector and the magnitude of the particle when it passes through the point (4, -4, 8).

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Projectile Motion