s(t) = tln(1/t)
= t(ln1 - lnt)
= t(0 - lnt)
= -t lnt
v(t) = -t(1/t) - lnt
= -1 - lnt
a(t) = 0 - 1/t = -1/t
we want v(t) = 0
-1- lnt = 0
lnt = -1
t = 1/e
a(1/e) = -1/(1/e) = -e
The position of a particle in rectilinear motion is given by s(t) = tln(1/t) for t>0, where t is in seconds.
Find the time (t>0) at which the velocity of the particle is 0, and find the particle's acceleration at that time as well. Use exact values.
1 answer
1 answer