Aboat is traveling upstream at 10 km/h with respect to the water of a river. the water is flowing at 8.0 km/h with respect to the ground. what are the (a) magnitude and (b) direction of the boat’s velocity with respect to the ground? a child on the boat walks from front to rear at 4.0 km/h with respect to the boat. what are the (c) magnitude and (d) direction of the child’s velocity with respect to the ground?

(A). The magnitude and direction of the boat's velocity with respect to the ground is 2 km/h in positive x-axis.

(B). The magnitude and direction of the child’s velocity with respect to the ground is 2 km/h in negative x-axis.

Explanation:

Given that,

The velocity of the boat

The velocity of the water

(a). We need to calculate the magnitude of the boat's velocity with respect to the ground.

The equation for the the boat's velocity with respect to the ground

(b). The direction of the boat's velocity with respect to the ground is in positive x axis.

(c). The velocity of the child with respect to the boat

The magnitude of the child’s velocity with respect to the ground can be found,

The magnitude of the child’s velocity with respect to the ground is

(d). The direction of the child’s velocity with respect to the ground is in negative x-axis.

Hence, (A). The magnitude and direction of the boat's velocity with respect to the ground is 2 km/h in positive x-axis.

(B). The magnitude and direction of the child’s velocity with respect to the ground is 2 km/h in negative x-axis.

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