Final answer:
The equation d = 3sin (16t) measures the displacement of a swinging object in simple harmonic motion, the displacement when t = 10 is approximately 3 inches.
Step-by-step explanation:
In simple harmonic motion, the displacement of an object can be determined using the equation d = 3sin(16t), where d is measured in inches and t is measured in seconds.
To find the displacement when t = 10, we substitute t = 10 into the equation:
d = 3sin(16 * 10)
d = 3sin(160)
We can use a calculator to find the value of sin(160), which is approximately 0.99985.
'Multiplying this by 3 gives us:
d ≈ 3 * 0.99985 ≈ 2.99955
Therefore, the displacement when t = 10 is approximately 2.99955 inches, or rounded to the nearest inch, 3 inches.