The path of a car on a Ferris wheel at time t minutes is modelled using the
Question:
The path of a car on a Ferris wheel at time t minutes is modelled using the parametric equations x = 12 sin t, y = 12 − 12 cos t where x is the horizontal distance in metres of the car from the start of the ride and y is the height in metres above ground level of the car.
a. Show that the motion of the car is a circle with radius 12 m.
b. Hence, find the maximum height of the car during the journey.
c. Find the time taken to complete one revolution of the Ferris wheel and hence calculate the average speed of the car.
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a To show that the motion of the car is a circle with radius 12 m we need to demonstrate that the parametric equations x 12 sint and y 12 12 cost sati...View the full answer
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Related Book For 
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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