A particle moves along a straight line so that its velocity is given by v(t) = t^2 How far does the particle travel between t = 1 and t = 3?
a) 1/3
b) 26/3
c) 8
d) 26
e) 27

Question

a) 1/3
b) 26/3
c) 8
d) 26
e) 27

? · Answer

s(3) - s(1) = ∫︎ v(t) dt 
= 1/3 (3^3) - 1/3 (1)^3 
= 27/3 - 1/3
= 26/3

A particle moves along a straight line so that its velocity is given by v(t) = t^2 How far does the particle travel between t = 1 and t = 3?