- #1
kaitlync
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2. If y(t) is the vertical distance traveled at time t, then the same reasoning as used in Problem 1shows that v2= (2gy)/(1+I*) at any time. Use this result to show that y satisfies the differential equation
dy/dt=sqrt(2g/(1+I*))*(sin alpha)*sqrt(y)
where a is the angle of inclination of the plane.
I plugged dy/dt into v, because is the derivative of position. I have dy/dt=sqrt(2g/(1+I*))*sqrt(y) because you can pull it out, but i don't know how to get the sin alpha
dy/dt=sqrt(2g/(1+I*))*(sin alpha)*sqrt(y)
where a is the angle of inclination of the plane.
I plugged dy/dt into v, because is the derivative of position. I have dy/dt=sqrt(2g/(1+I*))*sqrt(y) because you can pull it out, but i don't know how to get the sin alpha