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Vector Calculus

Position, velocity, acceleration, and turning · BC Calculus · greeting

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Owl · Mock interview — Vector Calculus. I ask; you answer.

Owl · We'll differentiate vector functions, connect to earlier parametric work, and separate 'speeding up' from 'turning.' Acceleration does not always increase speed.

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · If r(t) = ⟨cos t, sin t⟩, that's the unit circle. v(t) = ⟨−sin t, cos t⟩, speed |v| = 1 always. a(t) = ⟨−cos t, −sin t⟩ = −r(t), pointing inward.

Owl: We'll differentiate vector functions, connect to earlier parametric work, and separate 'speeding up' from 'turning.' Acceleration does not always increase speed.

You: —