A pendulum is oscillating back and forward. The distance between one end of the swing to the other is 45 cm and the object takes 4 s to complete 5 cycles. For the first few cycles the motion can be modelled by a sinusoidal function, where d is the distance from the mean position, d(t) in cm, and t is time in seconds. Consider the first 2 cycles only. Create an equation to model this situation. Sketch the graph and then solve for how often the pendulum is at least 10 cm from its mean position.

A pendulum is oscillating back and forward. The distance between one end of the swing to the other is 45 cm and the object takes 4 s to complete 5 cycles. For the first few cycles the motion can be modelled by a sinusoidal function, where d is the distance from the mean position, d(t) in cm, and t is time in seconds. Consider the first 2 cycles only. Create an equation to model this situation. Sketch the graph and then solve for how often the pendulum is at least 10 cm from its mean position.