Tentukan turunan dari y = 1x² + 9x + (1+9)
Answer (3)
To find the acceleration at t = 1.0 s for a body oscillating with simple harmonic motion, differentiate the displacement equation twice with respect to time. Substitute the value of t into the acceleration equation to get the approximate value. None of the provided options are correct. ;
The acceleration of the body oscillating with simple harmonic motion at t = 1.0 s is approximately 4.3 m/s². This value is derived by calculating the second derivative of the position function and evaluating it at t = 1.0 s. Therefore, the correct answer is option E, 4.3.
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To find the derivative of the given function, we apply the power rule of differentiation to each term. The power rule states that the derivative of x^n is n*x^(n-1).Term 1: x²:Applying the power rule, the derivative is 2 * x^(2-1) = 2x.Term 2: 9x:The derivative of 9x is 9 * 1 * x^(1-1) = 9 * x^0 = 9 * 1 = 9.Term 3: (1+9) = 10:The derivative of a constant is always 0.Therefore, the derivative of the entire function is the sum of the derivatives of each term: 2x + 9 + 0, which simplifies to 2x + 9.
