Suppose a dog is chasing a rabbit along the y-axis, and the coordinate of the rabbit's...

Suppose a dog is chasing a rabbit along the y-axis, and the coordinate of the rabbit's position at time t is given by (1/3) t^2 +4t. The dog's speed is equal to one half the distance between the two animals and the dog's coordinate at t=0 is y=-5.

a. Determine a differential equation for the position of the dog

b. Justify whether the dog will ever catch the rabbit?

Expert Solution

Colby Messinger answered 2 years ago

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