Sect 3 2 Practice A Page 89 s

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Sect 3. 2 Practice ‘A’ • Page 89, #’s 1 - 4

Sect 3. 2 Practice ‘A’ • Page 89, #’s 1 - 4

1. A truck driver is attempting to deliver some furniture. First, he travels 8

1. A truck driver is attempting to deliver some furniture. First, he travels 8 km east, then he turns around & travels 3 km west. Finally, he turns again & travels 12 km east to his destination. a. What distance has the driver traveled? 8 km + 3 km + 12 km = 23 km b. What is the driver’s total displacement? 8 km - 3 km + 12 km = 17 km to east - 3 km west 8 km east 12 km west

2. While following the directions on a treasure map, a pirate walks 45. 0

2. While following the directions on a treasure map, a pirate walks 45. 0 m north, then turns & walks 7. 5 m east. What single straight-line displacement could the pirate have taken to reach the treasure? 7. 5 m E 45 m N

7. 5 m E 2 2 2 c =a +b 2 2 2 c

7. 5 m E 2 2 2 c =a +b 2 2 2 c = (45 m) + (7. 5 m) 45 m N Θ 2 2 2 c = 2025 m + 56 m 2 c = 2081 m 2 c = 45. 6 m Θ = tan -1 opp adj = tan -1 = 9. 5 degrees east of north 7. 5 m 45 m

3. Emily passes a soccer ball 6. 0 m directly across the field to

3. Emily passes a soccer ball 6. 0 m directly across the field to Kara then kicks the ball 14. 5 m directly down the field to Luisa. What is the ball’s total displacement as it travels between Emily and Luisa? 14. 5 m 6 m

14. 5 m 6 m 67 o tan Θ = opp adj 2 2

14. 5 m 6 m 67 o tan Θ = opp adj 2 2 2 c =a +b = 2. 4167 Tan-1 (2. 4167) = 67 o 2 2 2 c = (6 m ) + (14. 5 m ) 2 2 2 c = 36 m + 210. 25 m 2 2 c = 246. 25 m = 14. 5 6 c = 15. 7 m

4. A hummingbird, 3. 4 m above the ground, flies 1. 2 m along

4. A hummingbird, 3. 4 m above the ground, flies 1. 2 m along a straight path. Upon spotting a flower below, the hummingbird drops directly downward 1. 4 m to hover in front of the flower. What is the humming-bird’s total displacement? 1. 2 m 1. 4 m 3. 4 m

1. 2 m 1. 4 m 3. 4 m tan Θ = opp adj

1. 2 m 1. 4 m 3. 4 m tan Θ = opp adj 2 2 2 c =a +b 2 2 2 c = (1. 2 m) + (-1. 4 m) Tan -1(1. 167) = 49 o below the horizontal 2 2 2 c = 1. 4 m + 2 m 2 2 c = 3. 4 m = 1. 4 = 1. 167 1. 2 c = 1. 8 m