question archive The path of a swing could be modelled by the function ,  h=15 cos (2pi/3 t) 65      where h is the height in centimetres above the ground and t is the time in seconds

The path of a swing could be modelled by the function ,  h=15 cos (2pi/3 t) 65      where h is the height in centimetres above the ground and t is the time in seconds

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The path of a swing could be modelled by the function ,  h=15 cos (2pi/3 t) 65      where h is the height in centimetres above the ground and t is the time in seconds. 

a. What is the maximum height of the swing?

How many seconds does it take to reach maximum height after the person starts?

       c.  What is the minimum height of the swing?

       d.  How many seconds does it take to reach minimum height?

       e.  For how many seconds within one cycle is the swing less than 60 cm above the ground? Round your answer to the nearest tenth of a second.

       f.   Determine the height of the swing after 10 s have passed.

 

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