5 pt. 5 pt. 5 pt. 5 pt. 5 pt. 10 pt. 10 pt. 10 pt. 10 pt. 10 pt. 15 pt. 15 pt. 15 pt. 15 pt. 15 pt. 20 pt. 20 pt. 20 pt. 20 pt. 20 pt. 25 pt. 25 pt. 25 pt. 25 pt. 25 pt. 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? 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 A plane wants to 1-10 fly due West, but there is a strong crosswind to the North. Draw a vector diagram illustrating what direction the plane should aim to achieve its goal. A plane wants to1-10A fly due West, but there is a strong crosswind to the North. Draw a vector diagram illustrating what direction the plane should aim to achieve its goal. resultant wind plane 1-15 1 2 3 VR Which path should the swimmer follow to get to the opposite shore the quickest? 1-15A 1 2 3 VR Which path should the swimmer follow to get to the opposite shore the quickest? Path #2 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) B) C) D) 0 km/hr 141 km/hr 200 km/hr not enough info 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 1-25 straight across a A boat is attempting to move river. The boat normally moves at 25 mph, and the river is moving at 16 mph as shown. How fast will the boat end up traveling across the river? River ? A boat is attempting to 1-25A move straight across a river. The boat normally moves at 25 mph, and the river is moving at 16 mph as shown. How fast will the boat end up traveling across the river? 16 mph V 162 + V2 = 252 V2 = 252 - 162 V = √(252 - 162) V = 19.2 mph 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? A stone is thrown 2-5A 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? They both hit at the same time Fill in the Blanks:2-10 When an projectile is thrown horizontally, before it hits the ground its horizontal velocity ______________ and its vertical velocity ____________? Fill in the Blanks:2-10A When an projectile is thrown horizontally, before it hits the ground remains the same its horizontal velocity ______________ increases and its vertical velocity ____________? A baseball thrown2-15 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? A baseball thrown2-15A 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? vx =145 km/hr (1000 m/km) (hr/3600 sec) = 40.3 m/s dx = vx t = (40.3 m)(1.5 sec) = 60.4 meters 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? 2-20A 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? dy = (1/2)ayt2 ==> t = √[2 dy/ay] t = √[(2*0.45m)/(9.8m/s2)] t = 0.30 seconds A softball is tossed from 2-25 a tree house 4 meters tall, and the ball lands 20 meters from the tree house. How fast was the ball thrown? A softball is tossed from 2-25A a tree house 4 meters tall, and the ball lands 20 meters from the tree house. How fast was the ball thrown? dx = vx t and dy = (1/2)ayt2 ==> t = √(2 dy/ay) where dy = 4 m t = √[2(4 m)/(10 m/s2] = 0.894 sec v = dx / t = 20m / 0.894 sec v = 22.4 m/sec 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? 3-5A 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? 9.8 2 m/sec straight down 3-10 A water balloon is launched with a horizontal velocity of 10 m/s and a vertical velocity of 8 m/s. How fast is the balloon traveling at the top of its path? 3-10A A water balloon is launched with a horizontal velocity of 10 m/s and a vertical velocity of 8 m/s. How fast is the balloon traveling at the top of its path? 10 m/s because the horizontal velocity of a projectile is constant 3-15 3-15A If an object is launched upwards at 24 m/s and sideways at 12 m/s, how much time will it take before it reaches the top? vfy = viy + ayt, vfy = 0 m/s (top) -viy = ayt ==> t = -viy / ay t = -(24 m/s) / (-10 m/s2) = 2.4 sec 3-20 If a ball is launched upwards from the moving cup, as shown, where will it land relative to the cup? A) B) C) D) in front of the cup behind the cup inside the cup not enough info 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 A water balloon is launched up at 6.5 m/s 3-25 and sideways at 4 m/s. How far (horizontally) does it travel before hitting the ground? A water balloon is launched up at 6.5 m/s 3-25A and sideways at 4 m/s. How far (horizontally) does it travel before hitting the ground? vfy = viy + ayt, vfy = 0 m/s (top) ==> -viy = ayt t = -viy / ay ==> t = -(6.5 m/s) / (-10 m/s2) = 0.65 sec time of flight = 2t = 1.3 sec dx = vxt = (4 m/s)(1.3 sec) = 5.2 meters 4-5 What is the horizontal ‘part’ of an angled vector called? 4-5A What is the horizontal ‘part’ of an angled vector called? The horizontal ‘component’ Draw this vector, 4-10 then draw and label the component vectors. A Draw this vector,4-10A then draw and label the component vectors. Ax A Ay How can you calculate the vertical 4-15 component of vector B? (Draw a vector diagram along with your answer) How can you calculate the vertical 4-15A component of vector B? (Draw a vector diagram along with your answer) B By θ Bx By = Bsinθ Vector C has a magnitude of 20 m/s 4-20 and is at an angle of 30° above the horizontal. What is the vertical component of vector C? Vector C has a magnitude of 20 m/s 4-20A and is at an angle of 30° above the horizontal. What is the vertical component of vector C? Cy = Csinθ 0 Cy = (20m/s)sin(30 ) Cy = 10m/s Vector D has a magnitude of 80 m and 4-25 is at an angle of 60° above the horizontal. What is the horizontal component of vector D? Vector D has a magnitude of 80 m and 4-25A is at an angle of 60° above the horizontal. What is the horizontal component of vector D? Dx = Dcosθ 0 Dx = (80m/s)cos(60 ) Dx = 40 m 5-5 How many sides does a circle have? 5-5A How many sides does a circle have? Two… the inside and the outside! 5-10 Name the character and movie that produced this famous quote: “Archaeology is the search for fact, not truth.” 5-10A Indiana Jones, in Indiana Jones and the Last Crusade 5-15 On the original Star Trek series, what were the call letters of the Star Ship Enterprise? 5-15A NCC-1701 5-20 Marty McFly Name the encore song played at the school dance that was rumored to have inspired Chuck Berry’s ‘new’ Rock & Roll song. 5-20A Johnny B. Goode! Alternate ending!!! 5-25 What is the answer to the Ultimate Question of Life, the Universe, and Everything? 5-25A Don’t Panic! 42 So long, and thanks for all the fish! Daily Double If an object is launched upwards at 24 m/s and sideways at 12 m/s, how much time will it take before it reaches the top?