Question: Question 1Suppose an object is launch on a 5 meter platform with an initial velocity of 20 meters per second. In addition, suppose the acceleration

Question 1Suppose an object is launch on a 5 meter platform with an initial velocity of 20 meters per second. In addition, suppose the acceleration of the object is always between -110 and 115.Let s(t) be the height of the object measured in meters at t seconds.(a) Compute the lst Taylor Polynomial of s(t) at 0.(b) According to the 1st Taylor Polynomial, when is the object predicted to reach a height of 100 meters?(c) On this time interval, find the largest possible value of the error term.(d) Suppose we would like the 1st Taylor Polynomial to approximate that actual height to within 2 meters. How long will we be able to use the 1st Taylor Polynomial to describe the height of the object? Round your answer to 2 decimal places.

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