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PHC2-3Tests - 2007 Tests PHYSICS HONORS v v x v= t vvv v f...

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2007 Tests PHYSICS HONORS CH. 3 TEST: TWO-DIMENSIONAL KINEMATICS form 1 Show your work. Use scientific notation for answers larger than 100 and less than 0.10. Include magnitude and direction for all vectors. Write answers using three significant figures. x v t = v v v a t = v v 13 12 23 v v v = + v v v 12 21 v v = - v v f o v v at = + v v v 2 1 2 o d v t at = + v v v 1 2 2 f d v t at = - v v v ( 29 1 2 f o d v v t = + v v v ax v v o f 2 2 2 + = 2 9.80 [ ] g m s = D v x y A A A = + v v v 2 2 2 2 cos c a b ab θ = + - A guided missile is initially moving when it begins to accelerate. After twenty seconds of acceleration, the missile's displacement is 12.0 km [W20ºS] and its final velocity is 500 m/s [W]. 1) What was the initial direction of the missile’s motion? A gun is set up on top of a plateau that is 200 m high, as shown at right. The gun fires a projectile with an initial velocity of 150 m/s [N35ºU]. The projectile lands at the bottom of the plateau. 2) What is the range of the projectile? A jetliner is moving at 250 m/s [E30ºS] relative to the air. Because of high altitude winds, a radar station on the ground measures the jetliner’s velocity to be 100 m/s [E]. 3) What is the speed of the wind? A boy is playing with a toy airplane attached to a string. At time t = 0 s, the toy plane is moving at 3.0 m/s [N]. At time t = 0.15 s, the plane is moving at 3.0 m/s [N30ºE]. 4) What was the direction of the average acceleration of the plane during this time? A cannon is set up near the edge of a wide, deep canyon, as shown at right. The cannon fires a projectile at an initial velocity of 60 m/s [R50ºU] that strikes the far wall of the canyon. 5) What is the minimum speed of the projectile during its flight? 6) At what speed does the projectile strike the canyon wall? A river flows south at 1.20 m/s. Starting on the east bank of the river, a girl swims at 1.40 m/s relative to the water and moves directly west as the crosses the river, without moving downstream at all. The girl reaches the opposite shore in one minute. 7) How wide is the river? A battleship simultaneously fires two shells toward two enemy ships, one close by ( A ), one far away ( B ). The shells leave the battleship at the same speed but at different angles and travel along the parabolic trajectories shown at right. 8) a) Which of the two enemy ships gets hit first? Explain your answer. b) Which of the two shells has the smaller minimum velocity during its flight? Explain your answer. c) Which of the two shells has the greatest change in velocity during its flight? Explain your answer. A cannon is placed on a long sloping hillside, as shown at right. The hillside makes an angle of 20º to the horizontal. The cannon launches a projectile with an initial velocity of 100 m/s [L20ºU]. 200 m 200 m 150 m 100 m cannon 200 m gun projectile path gun d 20º
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9) What distance d does the projectile travel?
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