Janelle S. answered 09/22/20
Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)
Integrate v(t) to find s(t):
v(t) = -18t - 2
s(t) = ∫v(t) = -9t2 - 2t + C
Since s(0) = 5 feet, we can use the point (0,5) to solve for unknown constant C:
s(0) = 5 = -9(0)2 - 2(0) + C
C = 5
Plug C into the equation for s(t):
s(t) = -9t2 - 2t + C = -9t2 - 2t + 5
Your answer is C