
(a)
To graph: The function for the velocity of the object when the air resistance is neglected where an object is thrown upwards at a velocity of 500 feet per second.
(b)
To calculate: The position function of the object and the maximum height it attainswhere an object is thrown upwards at a velocity of 500 feet per second.
(c)
To calculate: The velocity function when air resistance is factored in and the equation is
(d)
To graph: The velocity function obtained in part (c) with the value of k as 0.001 and to determine the time at which the maximum height is obtained.
(e)
To calculate: The approximate value of the integral
(f)
The reason behind the results in parts (b) and (c), the effect of air resistance on the maximum height.

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