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2) Let r(t) =< sin2t, 3t, cos2t >, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always perpendicular. b) Is there any time t for which r(t) and the velocity vector are perpendicular. If so, find all such values of t.

2) Let r(t) =< sin2t, 3t, cos2t >, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always perpendicular. b) Is there any time t for which r(t) and the velocity vector are perpendicular. If so, find all such values of t.

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2) Let r(t) =< sin2t, 3t, cos2t >, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always perpendicular. b) Is there any time t for which r(t) and the velocity vector are perpendicular. If so, find all such values of t.
Transcribed Image Text:2) Let r(t) =< sin2t, 3t, cos2t >, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always perpendicular. b) Is there any time t for which r(t) and the velocity vector are perpendicular. If so, find all such values of t.
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