The velocity in ft/sec of a particle is given by v(t) = −14t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 4 feet. A. 7t2 + 2t − 4
B. −7t2 + 2t + 4
C. −7t2 + 2t − 4
D. −14t2 + 2t + 4

I think the answer is c ‍

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.