A particle moves along a straight line and its position at time t is given by s(t)=t^4−6t+23, t≥0, where s s is measured in feet and t in seconds. (C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) t = (D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for ∞. If the particle is never moving in the positive direction, enter none .) (E) Find the total distance traveled during the first 8 seconds.
A particle moves along a straight line and its
position at time t is given by s(t)=t^4−6t+23, t≥0, where s
s is measured in feet and t in seconds.
(C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.)
t =
(D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for ∞. If the particle is never moving in the positive direction, enter none .)
(E) Find the total distance traveled during the first 8 seconds.
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