Question

a weight is attached to a spring and reaches its equilibrium position (x = 0). it is then set in motion resulting in a displacement of x = 10 cos t, where x is measured in centimeters and t is measured in seconds. see the figure shown to the right. answer parts (a) and (b). (a) what is the spring’s displacement when t = 0? cm (type an integer or decimal rounded to one decimal place as needed )

Explanation:

Step1: Substitute t = 0 into the formula

Given $x = 10\cos t$, substitute $t = 0$. So we have $x=10\cos(0)$.

Step2: Evaluate the cosine value

We know that $\cos(0)=1$. Then $x = 10\times1$.

Answer:

10