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The location of an object moving along the number line at time t seconds is given by 100 d(t) = 7 + 4 sin(t)

The location of an object moving along the number line at time t seconds is given by 100 d(t) = 7 + 4 sin(t)

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The location of an object moving along the number line at time t seconds is given by 100 d(t) = 7+ 4 sin(t) where t is assumed to be non-negative. (a) Calculate the limit; enter the number, -infinity, infinity or DNE (does not exist): lim d (t) DNE (b) The average velocity on the time interval [pi/2,pi] is 3.307 400 cos (t) (7+4 sin(t))2 (c) The instantaneous velocity v(t) = (d)v(pi)= 8.163 (e) At time t=pi, is the object moving RIGHT or LEFT? (Write answer in caps.) (f) On the time interval [4,15], what is the first time when the velocity of the object is zero? (g) On the time interval [4,15], what is the last time when the velocity of the object is zero? (h) On the time interval [4,15], what is maximum distance from the origin to the object? (i) On the time interval [4,15], what is minimum distance from the origin to the object?
Transcribed Image Text:The location of an object moving along the number line at time t seconds is given by 100 d(t) = 7+ 4 sin(t) where t is assumed to be non-negative. (a) Calculate the limit; enter the number, -infinity, infinity or DNE (does not exist): lim d (t) DNE (b) The average velocity on the time interval [pi/2,pi] is 3.307 400 cos (t) (7+4 sin(t))2 (c) The instantaneous velocity v(t) = (d)v(pi)= 8.163 (e) At time t=pi, is the object moving RIGHT or LEFT? (Write answer in caps.) (f) On the time interval [4,15], what is the first time when the velocity of the object is zero? (g) On the time interval [4,15], what is the last time when the velocity of the object is zero? (h) On the time interval [4,15], what is maximum distance from the origin to the object? (i) On the time interval [4,15], what is minimum distance from the origin to the object?
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