alex steve
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I am having trouble finding a staring place. My class requires us to use python to solve the equation.
This problem requires me to use eulers method to solve it. My issues is that i am getting confused as of how to find the v(t). Its been a while since i have had to do advance physics like this. Any help would be appreciated.
The question asks:
When jumping from an airplane, you will most often have a parachute to slow your fall. Here let's consider a very simple example in which the frictional drag force is linearly dependent on the velocity:dv/dt=a−bvwhere a and b are constants. In our case a corresponds to the acceleration due to gravity, and b is a constant from drag. Note that the drag force is negative, indicating it opposes the motion. Use the Euler method to solve for v as a function of time and plot your results. A convenient choice of parameters is a=10and b=1. You should find that v approaches a constant value at long times: this is the terminal velocity. If you open your chute immediately after jumping from the plane, you will have vinitial∼1 m/s, but if you wait a minute or so, you will have vinitial∼50 m/s. Plot both v(t) curves on the same plot with a legend.
I am just getting confused with : if the equations says dv/dt = a=bv , where would i insert t for v(t) if the equation has no t except for the dt in the denominator.
This problem requires me to use eulers method to solve it. My issues is that i am getting confused as of how to find the v(t). Its been a while since i have had to do advance physics like this. Any help would be appreciated.
The question asks:
When jumping from an airplane, you will most often have a parachute to slow your fall. Here let's consider a very simple example in which the frictional drag force is linearly dependent on the velocity:dv/dt=a−bvwhere a and b are constants. In our case a corresponds to the acceleration due to gravity, and b is a constant from drag. Note that the drag force is negative, indicating it opposes the motion. Use the Euler method to solve for v as a function of time and plot your results. A convenient choice of parameters is a=10and b=1. You should find that v approaches a constant value at long times: this is the terminal velocity. If you open your chute immediately after jumping from the plane, you will have vinitial∼1 m/s, but if you wait a minute or so, you will have vinitial∼50 m/s. Plot both v(t) curves on the same plot with a legend.
I am just getting confused with : if the equations says dv/dt = a=bv , where would i insert t for v(t) if the equation has no t except for the dt in the denominator.