Answer:
s(2) = 7.75
Step-by-step explanation:
given the velocity v(t) = t^3
we can find the position s(t) by simply integrating v(t) and using the boundary conditions s(1)=2
we know throught s(1) = 2, that at t=1, s =2. we can use this to find the value of the constant c.
Now we can use this value of t to formulate the position function s(t):
this is the position at time t.
to find the position at t=2
the position of the particle at time, t =2 is s(2) = 7.75