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25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt.

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1-5 A boat moves normally through the water at a velocity of 5 mph. How fast will the boat be traveling, as seen from shore, going upstream in a river that moves at 3.5 mph?

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1-5A A boat moves normally through the water at a velocity of 5 mph. How fast will the boat be traveling, as seen from shore, going upstream in a river that moves at 3.5 mph? 1.5 mph

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1-10 A plane wants to fly due West, but there is a strong crosswind from the South. Draw a vector diagram illustrating what direction the plane should aim to achieve its goal. Include all important vectors.

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1-10A A plane wants to fly due West, but there is a strong crosswind from the South. Draw a vector diagram illustrating what direction the plane should aim to achieve its goal. Include all important vectors. resultant plane wind

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1-15 Which way should the swimmer aim to get to the opposite shore the quickest? VRVR 1 2 3

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1-15A Path #2 Which way should the swimmer aim to get to the opposite shore the quickest? VRVR 1 2 3

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1-20 A plane travels 100 km/hr due North in a strong crosswind headed 100 km/hr due East. How fast is the plane’s ground-speed? A) 0 km/hr B) 141 km/hr C) 200 km/hr D) not enough info

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1-20A A plane travels 100 km/hr due North in a strong crosswind headed 100 km/hr due East. How fast is the plane’s ground-speed? B)141 km/hr

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1-25 A boat needs to move straight across a river. The boat moves at 25 mph relative to the water, and the river is moving at 16 mph as shown. How fast will the boat end up traveling across the river? River Boat ?

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1-25A A boat needs to move straight across a river. The boat moves at 25 mph relative to the water, and the river is moving at 16 mph as shown. How fast will the boat end up traveling across the river? 16 mph 25 mph V 16 2 + V 2 = 25 2 V 2 = 25 2 - 16 2 V = sqrt(25 2 - 16 2 ) V = 19.2 mph

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2-5 A stone is thrown from the top of a cliff horizontally at a speed of 10 m/sec, while at the same time an identical stone is dropped from the cliff. Neglecting air drag, which one hits the ground first?

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2-5A They both hit at the same time A stone is thrown from the top of a cliff horizontally at a speed of 10 m/sec, while at the same time an identical stone is dropped from the cliff. Neglecting air drag, which one hits the ground first?

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2-10 Fill in the Blanks: When an projectile is thrown horizontally, before it hits the ground its horizontal speed ______________ and its vertical speed ____________?

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2-10A Fill in the Blanks: When an projectile is thrown horizontally, before it hits the ground its horizontal speed ______________ and its vertical speed ____________? remains the same increases

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2-15 A baseball thrown from the pitcher’s mound travels 145 kph before hitting the ground 1.5 sec later. How far (in meters) is it from the mound to where the ball hits?

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2-15A A baseball thrown from the pitcher’s mound travels 145 kph before hitting the ground 1.5 sec later. How far (in meters) is it from the mound to where the ball hits? v =145 km/hr (1000 m/km) (hr/3600 sec) = 40.3 m/sec d = v t = (40.3 m)(1.5 sec) = 60.4 meters

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2-20 A dart is fired horizontally from a toy gun at a speed of 30 cm/sec from a height of 0.45 m. How much time passes before the dart hits the ground?

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2-20A d y = ( 1 / 2 )at 2 ==> t = √[2 d y /a] t = √[(2*0.45m)/(9.8m/s 2 )] t = 0.30 seconds A dart is fired horizontally from a toy gun at a speed of 30 cm/sec from a height of 0.45 m. How much time passes before the dart hits the ground?

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2-25 A softball is tossed horizontally from a treehouse 4 meters tall, and the ball lands 20 meters from the treehouse. How fast was the ball thrown?

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2-25A d x = v x t and d y = ( 1 / 2 )at 2 ==> t = √(2 d y /a) where d y = 4 m t = √[2(4 m)/(10 m/s 2 ] = 0.894 sec v = d x / t = 20m / 0.894 sec = 22.4 m/sec A softball is tossed horizontally from a treehouse 4 meters tall, and the ball lands 20 meters from the treehouse. How fast was the ball thrown?

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3-5 A cannonball is launched at a speed of 25.2 m/sec upwards at an angle of 30º above the horizontal. What is the acceleration of the ball in the air?

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3-5A 9.8 m/sec 2 straight down A cannonball is launched at a speed of 25.2 m/sec upwards at an angle of 30º above the horizontal. What is the acceleration of the ball in the air?

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3-10 A water balloon is launched with a horizontal velocity of 10 m/s and a vertical velocity of 8 m/s. What is the velocity of the balloon at the top of its path?

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3-10A 10 m/s horizontally. Because the horizontal velocity of a projectile is constant A water balloon is launched with a horizontal velocity of 10 m/s and a vertical velocity of 8 m/s. What is the velocity of the balloon at the top of its path?

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3-15

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3-15A v y = 24 m/s sin Ө = 12 m/s a = ∆v/t ==> t = (v f - v i )/a t = (12 m/s) / (10 m/s 2 ) = 1.2 sec If an object is launched 24 m/s at an angle of 30 o, how much time will it take before it reaches the top?

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3-20 If a ball is launched upwards from the moving cup, as shown, where will it land relative to the cup? A) in front of the cup B) behind the cup C) inside the cup D) not enough info

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3-20A If a ball is launched upwards from the moving cup, as shown, where will it land relative to the cup? C) inside the cup

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3-25 A water balloon is launched at 7.63 m/s at 58.4 o above the horizontal. How far (horizontally) does it travel before hitting the ground?

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3-25A v ix = v i cosӨ = 4 m/sv iy = v i sinӨ = 6.5 m/s d = v iy t + ½ at 2 d = 0a = -10 m/s 2 t = 1.3 sec d x = v x t = (4 m/s)(1.3 sec) = 5.2 meters A water balloon is launched at 7.63 m/s at 58.4 o above the horizontal. How far (horizontally) does it travel before hitting the ground?

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4-5 What is the horizontal ‘part’ of an angled vector called?

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4-5A The horizontal ‘component’ (x-component) What is the horizontal ‘part’ of an angled vector called?

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4-10 Draw this vector, then draw and label the component vectors. A

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4-10A Draw this vector, then draw and label the component vectors. A Ay Ax

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4-15 How can you calculate the vertical component of vector B?

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4-15A How can you calculate the vertical component of vector B? B y = Bsinθ

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4-20 Vector C has a magnitude of 20 m/s and is at an angle of 30° from the horizontal. What is the vertical component of vector C?

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4-20A C y = Csinθ C y = (20m/s)sin(30 0 ) C y = 10m/s Vector C has a magnitude of 20 m/s and is at an angle of 30° from the horizontal. What is the vertical component of vector C?

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4-25 Vector D has a magnitude of 80 m and is at an angle of 30° from the vertical. What is the horizontal component of vector D?

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4-25A D x = Dsinθ D x = (80m/s)sin(30 0 ) D x = 40 m Vector D has a magnitude of 80 m and is at an angle of 30° from the vertical. What is the horizontal component of vector D?

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5-5 How many sides does a circle have?

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5-5A Two… the inside and the outside! How many sides does a circle have?

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5-10 Name the character and movie that produced this famous quote: “Archaeology is the search for fact, not truth.”

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5-10A Indiana Jones, in Indiana Jones and the Last Crusade

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5-15 On the original Star Trek series, what were the call letters of the Star Ship Enterprise?

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5-15A On the original Star Trek series, what were the call letters of the Star Ship Enterprise? NCC-1701

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5-20 Name the encore song Marty McFly played at the school dance that was rumored to have inspired Chuck Berry’s ‘new’ Rock & Roll song.

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5-20A Johnny B. Goode!

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5-25 What actor has played both a Vulcan, and a psychopathic killer with mutant powers?

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5-25A Zachary Quinto What actor has played both a Vulcan, and a psychopathic killer with mutant powers? In ‘Heroes’ as Sylar

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Daily Double If an object is launched 24 m/s at an angle of 30 o, how much time will it take before it reaches the top?

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Nonlinear Motion and Circular Motion

Nonlinear Motion and Circular Motion

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