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 ? 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