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Answer to Question #33180 in Mechanics | Relativity for Adam

Question #33180
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)
Expert's answer
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:
if t=3 sec, V(3)=18 ft/sec
2) accelerationis the derivative of the velocity as a function on time
a(3)=6 ftsec^2

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