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

## A

1 If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

 v(t) = 21sin(3t-π/6) v(t) = 7cos(3t-π/6) v(t) = 21cos(3t-π/6) v(t) = -21sin(3t-π/6) v(t) = -21cos(3t-π/6)

2 If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

 a(t) = -63sin(3t-π/6) a(t) = +63sin(3t-π/6) a(t) = -21cos(3t-π/6) a(t) = -21sin(3t-π/6) a(t) = +21sin(3t-π/6)

3 If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

 v(t) = 5sin(4t-π/6) v(t) = -20sin(4t-π/6) v(t) = 20sin(4t-π/6) v(t) = -20cos(4t-π/6) v(t) = 20cos(4t-π/6)

4 If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

 v(t) = 20sin(4t-π/6) v(t) = 20cos(4t-π/6) v(t) = -20cos(4t-π/6) v(t) = 5cos(4t-π/6) v(t) = -20sin(4t-π/6)

5 If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

 v(t) = 7sin(3t-π/6) v(t) = -21cos(3t-π/6) v(t) = -21sin(3t-π/6) v(t) = 21sin(3t-π/6) v(t) = 21cos(3t-π/6)

6 If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

 a(t) = -80sin(4t-π/6) a(t) = +80sin(4t-π/6) a(t) = -100cos(4t-π/6) a(t) = -100sin(4t-π/6) a(t) = +20sin(4t-π/6)