3. (Calculator Active) For 0 ≤ t ≤ 2, a bug moves along a straight path with velocity v(t) = 2* cos(5 ln(t+1)). (a) At what time(s) t does the bug turn around? Give a reason for your answer. GRAPH. changes direction when V(+)=0 O=2*cos(51n (++)) * (b) On what interval(s) does the bug have a negative acceleration? accel when concave down negative 2+ C (c) Find the velocity of the bug when a(t) = 3. (d) On what intervals is the bug speeding up? Give a reason for your answer. K

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3. (Calculator Active) For 0 ≤ t ≤ 2, a bug moves along a straight path with velocity v(t) = 2t cos(5 ln(t + 1)).
-GRAPH
(a) At what time(s) t does the bug turn around? Give a reason for your answer.
*changes direction when V(+)=0
O=2*cos(5)n(+1)
(b) On what interval(s) does the bug have a negative acceleration?
accel when concave down
negative
2+ (
(c) Find the velocity of the bug when a(t) = 3.
Think
(d) On what intervals is the bug speeding up? Give a reason for your answer.
Transcribed Image Text:0 11 3. (Calculator Active) For 0 ≤ t ≤ 2, a bug moves along a straight path with velocity v(t) = 2t cos(5 ln(t + 1)). -GRAPH (a) At what time(s) t does the bug turn around? Give a reason for your answer. *changes direction when V(+)=0 O=2*cos(5)n(+1) (b) On what interval(s) does the bug have a negative acceleration? accel when concave down negative 2+ ( (c) Find the velocity of the bug when a(t) = 3. Think (d) On what intervals is the bug speeding up? Give a reason for your answer.
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