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1. A swimmer in Quezon Island swims 10 m East and then turns North and swims 15 m. Calculate the total displacement of the swimmer.

1. A swimmer in Quezon Island swims 10 m East and then turns North and swims 15 m. Calculate the total displacement of the swimmer.

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Please answer these three problems with complete solutions encoded.

Activity 5: ADD ME! (Vector Addition Analytically) Direction: Answer the following problems using the Pythagorean Theorem and trigonometric functions. PSYW Sample Problem: Find the resultant force and direction of these two forces acted on the box, F1 is 6 Newtons East and F2 is 5 Newtons North. Solutions: c2 = a? + b? tan e = opposite Side 5 N adjacent side 6 N :0.83 c2 = (6N)² + (5N) ² c2 = 36N2 + 25N² 0 = tan-1 = 39.69° or 40° c2 = 61N² c = 7.81 N Resultant force (Fr) = 7.81 N, 40°N of E 1. A swimmer in Quezon Island swims 10 m East and then turns North and swims 15 m. Calculate the total displacement of the swimmer. 2. Tata Juan, a fisherman from Lucap catches fishes at Cathedral Island, using his motorized boat he travels 60 m East, then turns 45 m North and finally travels 30 m West. What is the total displacement of Tata Juan? 3. A boatman at Lucap Bay leaves the wharf and travels 10 m East then continue moving 10 m North. Determine the boatman's resultant displacement.
Transcribed Image Text:Activity 5: ADD ME! (Vector Addition Analytically) Direction: Answer the following problems using the Pythagorean Theorem and trigonometric functions. PSYW Sample Problem: Find the resultant force and direction of these two forces acted on the box, F1 is 6 Newtons East and F2 is 5 Newtons North. Solutions: c2 = a? + b? tan e = opposite Side 5 N adjacent side 6 N :0.83 c2 = (6N)² + (5N) ² c2 = 36N2 + 25N² 0 = tan-1 = 39.69° or 40° c2 = 61N² c = 7.81 N Resultant force (Fr) = 7.81 N, 40°N of E 1. A swimmer in Quezon Island swims 10 m East and then turns North and swims 15 m. Calculate the total displacement of the swimmer. 2. Tata Juan, a fisherman from Lucap catches fishes at Cathedral Island, using his motorized boat he travels 60 m East, then turns 45 m North and finally travels 30 m West. What is the total displacement of Tata Juan? 3. A boatman at Lucap Bay leaves the wharf and travels 10 m East then continue moving 10 m North. Determine the boatman's resultant displacement.
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