Physics equations/16-Oscillatory Motion and Waves/Q:CALCULUS

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A
{If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?} - v(t) = 21sin(3t-&pi;/6) - v(t) = 7cos(3t-&pi;/6) + v(t) = 21cos(3t-&pi;/6) - v(t) = -21sin(3t-&pi;/6) - v(t) = -21cos(3t-&pi;/6) {If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?} + a(t) = -63sin(3t-&pi;/6) - a(t) = +63sin(3t-&pi;/6) - a(t) = -21cos(3t-&pi;/6) - a(t) = -21sin(3t-&pi;/6) - a(t) = +21sin(3t-&pi;/6) {If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?} - v(t) = 5sin(4t-&pi;/6) + v(t) = -20sin(4t-&pi;/6) - v(t) = 20sin(4t-&pi;/6) - v(t) = -20cos(4t-&pi;/6) - v(t) = 20cos(4t-&pi;/6) {If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?} - v(t) = 20sin(4t-&pi;/6) + v(t) = 20cos(4t-&pi;/6) - v(t) = -20cos(4t-&pi;/6) - v(t) = 5cos(4t-&pi;/6) - v(t) = -20sin(4t-&pi;/6) {If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?} - v(t) = 7sin(3t-&pi;/6) - v(t) = -21cos(3t-&pi;/6) + v(t) = -21sin(3t-&pi;/6) - v(t) = 21sin(3t-&pi;/6) - v(t) = 21cos(3t-&pi;/6) {If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?} + a(t) = -80sin(4t-&pi;/6) - a(t) = +80sin(4t-&pi;/6) - a(t) = -100cos(4t-&pi;/6) - a(t) = -100sin(4t-&pi;/6) - a(t) = +20sin(4t-&pi;/6)