speed=s'
acceleration=s''
take derititive to find speed
a.
I willl assume you know the power rule so
s'=6t²-18t+12
solve when s'=36
36=6t²-18t+12
6=t²-3t+2
0=t²-3t-4
0=(t-4)(t+1)
set to zero
t-4=0
t=4
t+1=0
t=-1, false no negative times allowed
at t=4 or 4 seconds
b. at t=4
take deritive again
s''=12t-18
at t=4
s''=12(4)-18
s''=48-18
s''=30
acceleartion is 30mpsps
a. at t=4
b. 30 meters per second per second
