Agirl stands on a moving sidewalk (conveyor belt) that is moving to the right at a speed of 2 m/s relative to the ground. a dog runs on the belt toward the girl at a speed of 8 m/s relative to the belt. 1) what is the speed of the dog relative to the ground?

To calculate the speed of the dog relative to the ground, we use the formula,

Here,   is velocity of dog with respect to ground, is velocity of dog with respect to belt and velocity of belt with respect to ground.

Given , and .

Substituting these values in above equation, we get

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y