3D 10 т/s Consider the race-car on the left. Initially, the car is moving at a constant velocity of 10 m/s. There is a drag resistance due to air flow (it is like a damping force with a damping coefficient b), and the car engine is applying a force, F, to b m overcome that resistance and maintain the velocity. At t = ta: 4F At a certain time instant (t = ta), the racer pumped the gas and raised the propulsion force b m to 4F! Please a) obtain the dynamic model of the car (the transfer function between the force input and the car's velocity) and b) roughly sketch the velocity of the car beyond ta. Please indicate the final velocity of the car in this rough sketch. 10 ? ta

3D 10 т/s Consider the race-car on the left. Initially, the car is moving at a constant velocity of 10 m/s. There is a drag resistance due to air flow (it is like a damping force with a damping coefficient b), and the car engine is applying a force, F, to b m overcome that resistance and maintain the velocity. At t = ta: 4F At a certain time instant (t = ta), the racer pumped the gas and raised the propulsion force b m to 4F! Please a) obtain the dynamic model of the car (the transfer function between the force input and the car's velocity) and b) roughly sketch the velocity of the car beyond ta. Please indicate the final velocity of the car in this rough sketch. 10 ? ta