3. Let (t) = -3 sin t+3 cos tj - 9k be the velocity of a...
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3. Let (t) = -3 sin tî+3 cos tj - 9k be the velocity of a particle at time t. (a) (Section 14.3) Find the acceleration function (t). (b) (Section 14.3) Find the position function 7(t) if 7 (7) = 1 +31 + +7k. 4. A particle travels along the curve C given by 7 (t) =< 2 cost, t, 2 sint >. (a) (Section 14.4) Determine how far the particle traveled along C for 0 < t≤ 2π. (b) (Section 14.4) Determine how far the particle traveled as it moved along C from P (0, 5, 2) to Q(-2, π, 0). 3. Let (t) = -3 sin tî+3 cos tj - 9k be the velocity of a particle at time t. (a) (Section 14.3) Find the acceleration function (t). (b) (Section 14.3) Find the position function 7(t) if 7 (7) = 1 +31 + +7k. 4. A particle travels along the curve C given by 7 (t) =< 2 cost, t, 2 sint >. (a) (Section 14.4) Determine how far the particle traveled along C for 0 < t≤ 2π. (b) (Section 14.4) Determine how far the particle traveled as it moved along C from P (0, 5, 2) to Q(-2, π, 0).
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