Question

richard is paddling across from a point a on one side of a river bank to the other point b. the river's current is flowing at 6m/s and richard is heading directly to the other side of the river bank, rowing at a speed of 8m/s. (a) draw a vector diagram labeling the appropriate values

Answer 1

The vector diagram of Richard paddling across from a point a on one side of a river bank to the other point b is shown in the image attached.

How to draw the vector diagram?

The vector diagram of Richard paddling across from a point a on one side of a river bank to the other point b will consist the following;

the velocity of Richard point upwards

the velocity of the river perpendicular to the velocity of Richard

the resultant of Richard and the river

The resultant velocity of the river is calculated as follows;

r² = 6² + 8²

r² = 36 + 64

r² = 100

r = √ 100

r = 10 m/s

Thus, the resultant velocity of the river is determined as 10 m/s.