Abraham launches a model rocket from a platform that is 20 feet above ground lev

Question

Abraham launches a model rocket from a platform that is 20 feet above ground level. The rocket launches straight upward at a velocity of 50 feet per second. Abraham wants to calculate the maximum height of the model rocket before it descends to the ground. He uses the exponential function f(x) = 50^2 + 20 to model the problem. Did Abraham choose the most appropriate function family to model the situation? Why or why not? Select the answer choice that is completely correct. No, Abraham did not choose the most appropriate function type to model the situation. A square-root function would approximately model the decrease in velocity over time as gravity acts on the rocket. No, Abraham did not choose the most appropriate function type to model the situation. The text describes the rocket launching straight upward, which means the graph of the function would be a straight line. Thus a linear model would be the best function type for this situation. Yes, Abraham chose the most appropriate function type to model the situation. Exponential functions can appropriately model the increase in velocity over time as the rocket gains momentum. No, Abraham did not choose the most appropriate function type to model the situation. The text describes an initial height, initial height, initial velocity, and maximum height. This situation would be best modeled with a quadratic function.

Explanation / Answer

as the maximum height gained, h = v2/2g

so quadratic function will correctly make the model

so last option is correct   

  

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