An automobile rolls down an incline, traveling s(t) = 3t2 + 7 feet in t seconds.
a) Find its velocity a t = 3. ft/sec
b) Find its acceleration at t = 3. [ft\sec^2]
c) After how many seconds will the velocity be 88 ft/sec? (seconds)
S(t)= 3t^2 + 7 1)If s is the length of the path travelled until time t,the speed equals the time derivative of s: V(t)=ds/dt V(t)=6t if t=3 sec, V(3)=18 ft/sec 2) accelerationis the derivative of the velocity as a function on time a(t)=dV/dt a(3)=6 ftsec^2