# Plz Answer the last 3 Questions (12,13,14) only. if possible plz explain and show formulas. :) A river flows due

###### Question:

Plz Answer the last 3 Questions (12,13,14) only.
if possible plz explain and show formulas.
:) A river flows due south with a speed of 4.5 m/s. A man steers a motorboat across the river. His motor can push the boat through water at a speed of 7 m/s. Starting on the western shore, he points the nose of his boat due east. The river is 500 m wide. 8. What is his speed relative to the ground? a. 8.32 m/s _ b. 3.95 m/s d. 10.3 m/s C. 6.22 m/s 9. What direction is he moving relative to the ground? a. 32.3° SE b. 40.0° SE c. 21.6° SE d. 17.1° SE 10. How much time is required to cross the river? a. 170 s b. 71.4 s c. 58.9 s d. 98.1 s 11. How far south of his starting point will he reach the opposite bank? a. 512 m ((b. 321 m c. 844 m d. 213 m 12. Later, the same boatsman using the same boat and starting again from the western shore wants to reach a point on the opposite bank directly east of his starting point. In which direction should he head (i.e. which direction should he point the nose of his boat)? a. 32.3°NE b. 40.0° NE c. 21.6° NE d. 17.1°NE 13. What is the speed of his boat relative to the ground when he takes this heading? a. 1.97 m/s b. 4.11 m/s c. 7.91 m/s d. 5.36 m/s 14. How long will it take him to cross the river? 2. 113 b. 48.1 s c. 93.3 s d. 211s

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