(Solved): Required information A stomp rocket is a toy consisting of a hose connected to a blast pad (i.e., ...

Required information A stomp rocket is a toy consisting of a hose connected to a blast pad (i.e., an air bladder) at one end and to a short pipe mounted on a tripod at the other end. A rocket with a hollow body is mounted onto the pipe and is propelled into the air by stomping on the blast pad. Assume that the rocket can be given an initial speed $$v_0=138\mathrm{ft}/\mathrm{s}$$ and the rocket's landing spot at $$B$$ is $$10\mathrm{ft}$$ higher than the launch point, i.e., $$h=10\mathrm{ft}$$, and neglect air resistance. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Take the expression for $$R$$ found in (a), square it, and then differentiate it with respect to time to find the flight time that corresponds to the maximum range, and then find that maximum range. (Round the final answers to four decimal places.) The flight time is s. The maximum range is $$\mathrm{ft}$$. $$R^2=v_0^2{t}_f^2?{\left(h+\frac{1}{2}g{t}_f^2\right)}^2$$