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## Homework Statement

We say that the equation a= ω

^{2}x defines simple harmonic motion - it tells us what is required if a body is to perform s.h.m. The equation x= x

_{o}sinωt is then described as a

**solution**to the equation, since it tells us how the displacement of the body varies with time. If you have studied calculus you may be able to differentiate the equation for x twice with respect to time to obtain an equation for acceleration and thereby show that the defining equation a = -ω

^{2}x is satisfied.

**2. The attempt at a solution**

I haven't done calculus as I haven't taken Math as a subject. I wanted to ask if it would be possible to understand that statement without taking calculus. Or if someone could explain to me what the whole point of the statement is. I really don't get it at all. Do tell me if I have to study a bit of calculus to understand this, because I will if I have to. Thanks :)