A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where t is measu red in seconds and s is in inches: s(t)=−3cos(πt+π4). Determine the position of the spring at t=1.5 s. Find the velocity of the spring at t=1.5 s.
1 answer:
Answer:
The position and velocity of the spring is −2.12 inches and -6.66 ft/s.
Explanation:
Given that,
The position function,
We need to calculate the position of the spring at t = 1.5 s
Using position function
Put the value of t in the function
We need to calculate the velocity of the spring
Using position function
On differentiating
Put the value into the formula
Hence, The position and velocity of the spring is −2.12 inches and -6.66 ft/s.
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