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How do we use matlab to answer these question ? plz helpn A) Top speed of vehicle (analytical toolbox) We consider a typical sedan car,
How do we use matlab to answer these question ? plz helpn
A) Top speed of vehicle (analytical toolbox) We consider a typical sedan car, with the following parameters: mass m=1500kg, cross section area S=2.1m2, coefficient of drag Cd=0.27, rolling friction model: Fr=(0+1v)N where Fr is the rolling friction force, 0=0.0075 and 1=2104s/m,N is the reaction force and v is the speed of the car. The drag force can be computed using the formula D=21v2SCd a) Draw a free body diagram of the forces on the car b) Compute the drag and rolling friction forces when the car goes at a speed of v=27m/s(97kph) c) We want to compute the theoretical top speed of the car, for different engines with power outputs P=20kW(26.8hp),P=110kW(147hp). We assume that =20% of the power generated by the engine is lost in the transmission (thus, 80% of the power generated by the engine goes to the wheels) Hint: use the analytical toolbox to compute the speed, by solving a third degree polynomial. At constant speed, the power sent to the wheels is equal to the power dissipated by the drag and friction forces (P=(Fr+D)v) B) Linear differential equation (analytical toolbox) We consider the motion of a parachutist. The parachutist is assumed to be a point mass m=75kg, descending at terminal velocity v0=60m/s. At time t=0, the parachutist is falling at speed v0, and opens their parachute. The forces and formula for drag force are outlined in the below image. For this problem, we assume that the parachute diameter is d=12m. a) Write the differential equation for the function v(t), the vertical speed of the parachutist over time, assuming that the parachute is open at time t=0. b) Solve this equation using the analytical toolbox. Use the vpa() command to force the calculation of numbers. Find the value of the constant (using the fact that v(0)=v0 ). After how much time (approximately) does the parachutist reach a safe descent speed of less than 7m/s Step by Step Solution
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