4. Estimate (a) how long it took King Kong to fall straight down from the top of the Empire State Building (380 m high), and (b) his velocity just before "landing."

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Chapter1: Units, Trigonometry. And Vectors
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Answer question number 4

Assessment
1. A rolling ball moves from x, = 8.4 cm to x, = -4.2 cm to during the time from t, = 3.0 s to t, =
6.1 s. What is its average velocity over this time interval?
2. At highway speeds, a particular automobile is capable of an acceleration of about 1.8 m/s². At
this rate, how long does it take to accelerate from 65 km/h to 120 km/h.
3. A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 18.0 m of a race.
What is the average acceleration of this sprinter and how long does it take her to reach that
speed?
4. Estimate (a) how long it took King Kong to fall straight down from the top of the Empire State
Building (380 m high), and (b) his velocity just before "landing."
5. Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36°
north of east; (2) 18 m, 37° east of north; and (3) 26 m, 33° west of south.
6. The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m
horizontally from the camp in a direction 38.4° west of north. What are the components of the
displacement vector from camp to summit? What is its magnitude? Choose the x axis east, y
axis north, and z axis up.
7. A ball is thrown horizontally from the roof of a building 7.5 m tall and lands 9.5 m from the base.
What was the ball's initial speed?
Transcribed Image Text:Assessment 1. A rolling ball moves from x, = 8.4 cm to x, = -4.2 cm to during the time from t, = 3.0 s to t, = 6.1 s. What is its average velocity over this time interval? 2. At highway speeds, a particular automobile is capable of an acceleration of about 1.8 m/s². At this rate, how long does it take to accelerate from 65 km/h to 120 km/h. 3. A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 18.0 m of a race. What is the average acceleration of this sprinter and how long does it take her to reach that speed? 4. Estimate (a) how long it took King Kong to fall straight down from the top of the Empire State Building (380 m high), and (b) his velocity just before "landing." 5. Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north of east; (2) 18 m, 37° east of north; and (3) 26 m, 33° west of south. 6. The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 38.4° west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x axis east, y axis north, and z axis up. 7. A ball is thrown horizontally from the roof of a building 7.5 m tall and lands 9.5 m from the base. What was the ball's initial speed?
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