Let the position at time t seconds of a particle moving in a coordinate line be given by s(t) = cos(3t) centimeters.(a) Find its velocity v(t) = s0(t) at time t.(b) Show that 9s(t)2 +v(t)2 = 9.(c) Find its acceleration a(t) = v0(t) = s00(t) at time t.
Let the position at time t seconds of a particle moving in a coordinate line be given by s(t) = cos(3t) centimeters.
(a) Find its velocity v(t) = s0(t) at time t.
(b) Show that 9s(t)2 +v(t)2 = 9.
(c) Find its acceleration a(t) = v0(t) = s00(t) at time t.
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