(Solved): draw free body diagram and label please A hydraulic catapult (liquid jet) is used to propel a cart, ...

A hydraulic catapult (liquid jet) is used to propel a cart, as shown in the figure. Initially the cart is at rest. The jet strikes the curved surface of the cart and makes a 180 -degree angle tum, leaving horizontally. The mass of the cart is $100\mathrm{kg}$ and the jet of water leaves the nozzle, of area $0.001{\mathrm{m}}^2$, with a speed of $35\mathrm{m}/\mathrm{s}$. There is an aerodynamic force (drag) proportional to square of the cart speed, ${\mathrm{F}}_{\mathrm{D}}={\mathrm{kU}}^2$, with $\mathrm{k}=2.0\mathrm{N}?{\mathrm{s}}^2/{\mathrm{m}}^2$. You are asked to do the following: 1. Derive an expressin for the cart acceleration as a function of cart speed and other given parameters. 2. Evaluate the acceleration of the cart at $U=10\mathrm{m}/\mathrm{s}$. 3. What fraction is this speed of the TERMINAL speed of the cart?