Supposed you record the velocity (v) (ft/s) of a firework rocket that was vertically flown as a function of time (second). If the rocket travels 100ft after 2 seconds and the velocity has been modelled by the equation of v(t) = 20t+20. (a)Find the model function of the height, (b) determine the height of the rocket after 10 seconds. Supposed you record the pressure (p) (liter/s) of a pressure washer that was horizontally aimed as a function of time (second). If the water jet releases 20 liters after 1 seconds and the water pressure has been modelled by the equation of p(t) = 30t + 100. (a)Find the model function of the released water (w), (b) determine the number of liters released after 10 seconds.