Answer:
v = 0.78 m/sec at 21.61° towards the east of north
Step-by-step explanation:
Given a 19.3 kg dog is running northward at 2.98 m/s , while a 6.26 kg cat is running eastward at 3.64 m/s and the mass of the owner is 78.7 kg.
Given m(dog) = 19.3 kg and m(cat) = 6.26 kg
v(dog) =
m/sec
v(cat) =
m/sec
Given the

Let the velocity of the owner be

We know that





v=0.78 m/sec
for direction
Tan(α)=

where α is the angle toward east of north.
Tan(α)=

α=21.61°