1. Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a) 5.0 m directly above the origin and (b) 2.0 m below the origin?
Q: 3. A projectile is launched off of a 25.0 m high cliff with an initial velocity of 15.0 m/s in a…
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Q: An object is propelled from the origin with acceleration ? =(4.00?̂+2.00?̂) ?/?2 and initial…
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Q: Chapter 04, Concept Question 02 The figure shows the initial position i and the final position Fof a…
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Q: 2. Suppose two vectors are given by A = (5.0 m) ây + (2.0 m) ŷ and B = (-3.0 m) x – (5.0 m) ŷ. (a)…
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Q: Vector A = -1i -2j and vector B = 3i+4j what are the magnitude and direction of vector C =A+B.
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Q: 15. A skateboarder shoots off a ramp with a velocity of 6.6 m/s, directed at an angle of 58° above…
A: Given Data: The initial velocity of the skateboarder is, u=6.6 m/s The angle above the horizontal…
Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…
A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…
Q: 2. It is given that A - B = 50.4i (m), C = 62.0 i (m), and A + B +C = 14.2 i (m). Find the vectors A…
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Q: 2. Three displacement vectors are given as shown in figure. Their magnitudes are JA|= 8.0 m, |B|-…
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Q: The unit vector 3.00 i + 7.00 j is which of the following when expressed as a magnitude and…
A: Given data: A Unit vector A = 3.00i + 7.00j Required: The magnitude and direction of vector
Q: A person walks 2.05 km south and then 2.75 km east, all in 3.00 hours. (a) What is the magnitude (in…
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Q: Starting from a location with position vector rx = -19.5 m and ry = 23.1 m, a rabbit hops around for…
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Q: 2. Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant with a 1…
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Q: A vector has an x-component A, > 0 and has an angle 0 with respect to the +x-axis. Which of the…
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Q: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…
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Q: Two boats leave the port at the same time. Boat A has a velocity of (-3t+ 2j) m/s and boat B has a…
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Q: 69. For the vectors in the earlier figure, find (a) (A × F ). D, 6) (A × F )·(B x B ), and (c) ( A…
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Q: . Two vectors are given by a = 41 - 31+ k and b = −î + ĵ + 4k. Find (a) a + 5, (b) a - b, and (c) a…
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Q: 5. An object is projected horizontally at a speed of 40.0 m/s from the top of a cliff 120 m high. a)…
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Q: 7. A projectile is shot from the edge of a cliff 150 m above ground with an initial speed of 65.0…
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Q: Vector A +x +y Vector A is shown. Which of the following options represents A, the component of…
A: Introduction: Physical quantities are divided into two types depending on its direction. Scalars and…
Q: 1. A ball is projected with a velocity of 20 m/s at an angle of 35 degrees from the top of a 75-m…
A: Given, u= 20m/s theta= 35° at height h, v= 0 Vertical component of projection velocity is given by,…
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- At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?17.) A ball is projected horizontally at an angle of 30.0 degrees (based on horizontal) from the edge of a cliff, with an initial speed of 62.0 m/s. Height of cliff is 135 m. How far (m) from the base of the cliff will the ball land on the level ground
- 3. A plane is travelling with a velocity relative to the air of 3.5 × 10² km/h [N 35° W] as it passes over Kitchener-Waterloo. The wind velocity is 62 km/h [S]. a) Determine the velocity of the plane relative to the ground. Ans: 3.0 × 10² km/h [N42° W] b) Determine the displacement of the plane after 1.2 h. Ans: 3.6 × 10² km [N 42° W]4. A projectile is launched from 20.0 m above ground level with an initial velocity of 35.0 m/s at 60.0° with respect to the horizontal. a) What is the object's maximum displacement in the y-direction? 35 m/sWhat horizontal distance should the professor be at when the egg is released?
- 5. ssm In diving to a depth of 750 m, an elephant seal also moves 460 m due east of his starting point. What is the magnitude of the seal's dis- placement?7.3. The SW corner of a football field is selected as the origin of a rectangular coordinate system. A football is placed on the field at (x, y) = (35.1 m,69.4 m). How long would it take a student, walking at a speed of 2.29 m/s directly from the corner towards the football, to reach it?
- Help5. A cannonball fired horizontally from a cliff has a velocity directed at 60° below horizontal when it hits the ground 3.0 seconds later. a) How high is the cliff? b) How far from the base of the cliff does the canon ball land?Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.