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Unit Activity: Functions 6 of 7 [ Save & Exit Building and Combining Functions In this task, you will carefully consider the vertical position of a rocket in relation to the time elapsed in seconds after the rocket is launched. You'll take into account three different functions, each describing the height of the rocket under the Influence of just one force. Finally, you'll combine these functions and sketch the graph of the resulting function. Part A Suppose a rocket is being launched into outer space. On its way up, several different forces act on the rocket. One of these forces, thrust, is applied by the rocket's engines. The rocket's engines apply a constant upward force to a rocket on its way to outer space. In the absence of other forces, the upward force on the rocket would cause it to accelerate up at a constant rate of a meters/second. Still ignoring any other forces, the height of the rocket can be expressed as a function of the time elapsed in seconds after the launch, t. This function, f(t), is equal to half the product of the rocket's acceleration and the square of the time after launch. Write the equation for f(t). BIUX X 2 15px Space used (Includes formatting): 0 / 15000 US May 16 1:59 9 0