2. An object, moving in one dimension, has its position, x(t), given by x(t)=-4t³ + 12t² +36t - 6 where x is in meters and t in seconds. a(: Find instantaneous velocity and acceleration. What are v(t) and a(t)? v(t) = b' a(t) = At what time, tm, does the speed go to zero? c( Find x(tm). Is this a maximum or minimum value for x(t)?value of the position attained by the object?

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2. An object, moving in one dimension, has its position, x(t), given by
x(t)=-4t³ + 12t2 +36t-6 where x is in meters and t in seconds.
a(: Find instantaneous velocity and acceleration. What are v(t) and a(t)?
v(t) =
b'
a(t) =
At what time, tm, does the speed go to zero?
UP from the top
c(
Find x(tm). Is this a maximum or minimum value for x(t)?value of the
position attained by the object?
Transcribed Image Text:2. An object, moving in one dimension, has its position, x(t), given by x(t)=-4t³ + 12t2 +36t-6 where x is in meters and t in seconds. a(: Find instantaneous velocity and acceleration. What are v(t) and a(t)? v(t) = b' a(t) = At what time, tm, does the speed go to zero? UP from the top c( Find x(tm). Is this a maximum or minimum value for x(t)?value of the position attained by the object?
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