Dog-Owner problem(pursuit curve) with euler

[Ynais51470]

he owner of a dog runs at a constant speed v =5 m.s^-1 on the road D1. Arrived at the intersection of the road D2, a road perpendicular to D1, he decides to take this one. At this moment there, his dog is located on D1 to 100 m of the intersection. This one starts to run in direction of his master at a constant speed V1=8 m.s^-1 through fields. x(t) and y(t) are the coordinates of the dog's position at time t, in a reference frame that you choose. express x'(t) and y'(t) as functions of x(t) and y(t). Using Euler's method and adapting the euler function constructed in the previous section, determine the approximate coordinates of points on the dog's trajectory and represent this trajectory.Determine when the dog will catch the owner. I can't model the problem mathematically

 

[stapel]

he owner of a dog runs at a constant speed v =5 m.s^-1 on the road D1. Arrived at the intersection of the road D2, a road perpendicular to D1, he decides to take this one. At this moment there, his dog is located on D1 to 100 m of the intersection. This one starts to run in direction of his master at a constant speed V1=8 m.s^-1 through fields. x(t) and y(t) are the coordinates of the dog's position at time t, in a reference frame that you choose. express x'(t) and y'(t) as functions of x(t) and y(t). Using Euler's method and adapting the euler function constructed in the previous section, determine the approximate coordinates of points on the dog's trajectory and represent this trajectory.Determine when the dog will catch the owner. I can't model the problem mathematically

Is the dog 100 meters past the intersection of the two roads?

What Euler function did you construct "in the previous section"?

What have you drawn? What functions have you created?

Please be complete. Thank you!

Eliz.

 

[skeeter]

Dog-Owner problem(pursuit curve)

The owner of a dog runs at a constant speed v =5 m.s^-1 on the road D1. Arrived at the intersection of the road D2, a road perpendicular to D1, he decides to take this one. At this moment there, his dog is located on D1 to 100 m of the intersection. This one starts to run in direction of his...

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