Design a polynomial function where x, is time from the start of the ride in seconds and y is the height of the passengers from the ground in metres.

Requirements:

• x is time from the start of the ride, in seconds
• y is the height of the passengers from the ground, in metres
• The domain of your function must be at minimum {xR | 0x60}
• The range of your function must be at minimum {yR | 0y70}

The rollercoaster must

o not start on the ground,

o be underground for a total of 30 seconds (does not have to be consecutively),

o incorporate the use of at least one zero (x-intercept) that has an order either than 1,

o have at least two drops within the first 60 seconds,

o end on ground level.