4. A piston in an engine oscillates up and down from a resting position as shown rest position The piston's resting position is 10cm above the bottom of the cylinder. When turned on, it will start by moving upwards to 18cm, then down to 2cm from the bottom, before returning to it's starting position. This full cycle will take 2 seconds. a) Draw a sketch of the pistons movement. b) Create a function which expresses the pistons height h(t) over time t. c) What is the fastest velocity of the piston? d) When will the piston reach its maximum height? (create a general expression to express all answers)

4. A piston in an engine oscillates up and down from a resting position as shown rest position The piston's resting position is 10cm above the bottom of the cylinder. When turned on, it will start by moving upwards to 18cm, then down to 2cm from the bottom, before returning to it's starting position. This full cycle will take 2 seconds. a) Draw a sketch of the pistons movement. b) Create a function which expresses the pistons height h(t) over time t. c) What is the fastest velocity of the piston? d) When will the piston reach its maximum height? (create a general expression to express all answers)