Question

An ocean wave is represented by cosine curve, where the time it takes to go from its crest highest point to its lowest point is four seconds what is the period

Answer 1

8 s

Explanation:

The time, t it takes the wave to move from its crest highest point to its lowest point is half of its period, T.

That is t = T/2

Given that t = 4 s, and making T subject of the formula, we have

T = 2t

Substituting t = 4 s into T, we have

T = 2t

T = 2 × 4 s

T = 8 s

So, its period is 8 s