(Solved): QUESTION 10 (10 marks total) The small rocket-propelled vehicle shown in Figure 10 has an initial m ...

QUESTION 10 (10 marks total) The small rocket-propelled vehicle shown in Figure 10 has an initial mass of $70\mathrm{kg}$, including $15\mathrm{kg}$ of fuel. Fuel is burnt at a rate of $1.5\mathrm{kg}/\mathrm{s}$, with an exhaust velocity relative to the vessel of $130\mathrm{m}/\mathrm{s}$. Upon ignition, the vehicle is released from rest up the $10^{?}$ incline. Calculate the maximum velocity $v_{\max }$ reached by the vehicle. [Note: $?\frac{1}{a+bx}dx=\frac{1}{b}\ln (a+bx)]$