Answered: a) A particle has a position function…

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(a) A particle has a position function r(t) = 2t³+7, 3t²-7t. Find the particle's velocity, acceleration and speed at t=1.
(b) Does the function have any vertical or horizontal tangent lines? If so, where?

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a) A particle has a position function r(t) = 2t3+7, 3t2-7t. Find the particle's velocity, acceleration and speed at t=1. (b) Does the function have any vertical or horizontal tangent lines? If so, where?