A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.

Q: A particle leaves the origin with an initial velocity v= (3.00i) m/s and a constant acceleration a =…

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Q: Construct motion diagrams showing the velocity and accelerationof a projectile at several points…

A: Assumptions:Initial velocity of object = v m/s.Acceleration of object = a m/s2

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: If v is the initial velocity, θ is the projection angle, g is the acceleration due to gravity, the…

Q: Hi please help, I am not sure how to solve this problem. If you are walking 400m east but then…

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Q: Express the position vector rAB in Cartesianvector form, then determine its magnitude and…

A: From the given figure we can obtain the coordinates of point A and B as, Therefore, the position…

Q: You can use any coordinate system you like in order to solve a projectile motion problem. To…

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Q: What are the magnitude Δ? and angle ? of the change in velocity if the initial velocity is 45.0 m/s…

A: Given information:Initial magnitude and direction of the velocity (V1) = 45 m/s due south.Final…

Q: Construct motion diagrams showing the velocity and acceleration of a projectile at several points…

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Q: A particle moving vertically according to the equation of motion s(t) = gt + bt, where b > 0 and g…

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Q: Multiple-Concept Example 4 deals with a situation similar to that presented here. A marble is thrown…

A: The answer is

Q: ne the magnitude and direction (relati or distance and time, respectively. X km o north of west 5.35

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Q: n the Superbowl, a quarterback throws a football while standing at the very center of the field on…

A: Consider the given data as below. Initial velocity, vo=40 i^+35 j^+32 k^   Assume upward as k^…

Q: The xx-component of a velocity vector that has an angle of 31 ∘∘ to the +xx-axis has a magnitude of…

A: a) The required magnitude of the velocity,

Q: A position vector with magnitude 20 m points to the right and up. Its x-component is 16 m . What is…

A: Magnitude (r) = 20 m X- component (x)= 16 m

Q: What are the magnitude Δ? and angle ? of the change in velocity if the initial velocity is 60.0 m/s…

A: initial velocity = 60m/s (-j)^final velocity = -45 i^ m/s Change in velocity = final velocity -…

Q: Which of the following is equal to the magnitude of the position vector r of a particle? Select the…

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Q: An archer shoots an arrow at a 60.0 ° angle from a height of 0.900 m and with a speed of 12.0 m/s. 1…

A: Given data *The given angle is θ=600 *The given height is s = 0.900 m *The initial speed is u = 12.0…

Q: A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25…

A: Vwc is the velocity of wind relative to the cyclist  in the south west and Vcr is the velocity of…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion-Felis…

A: Here, 12ft=12ft×0.3048m1ft=3.6576m

Q: Can a vector have zero magnitude and a nonzero component? If no, why not? If yes, give an example.

A: The magnitude of a vector is the square root of the sum of the squares of the components of the…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: Given that initial velocity of shell is 310m/sec and angle is 58.0degree above the horizontal and…

Q: Does the acceleration vector always point in the direction in which an object is moving? If so,…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from…

A: Given data displacement of a superhero = 100 m

Q: A projectile is shot at an inclination of 45° from the ground with a speed of 250 mps. (a) Derive…

A: Given data: Inclined angle (θ) = 45° with the horizontal Initial Speed (v0) = 250 m/s Time (t) = 25…

Q: Imagine you want to measure the height of an inaccessible mountain peak on an island in the South…

A: The boat travel 25 km in south east direction at 37 degree.

Q: 2/186 A marathon participant R is running north at a speed uR = 10 mi/hr. A wind is blowing in the…

A: a) Draw the velocity diagram.

Q: A particle moves along a path and its speed increases with time.(a) In which of the following cases…

A: (a)Velocity and acceleration vectors are parallel only in straight line motion. In circular motion,…

Q: A bear searching for food wanders 35 meters East then 20 meters North. Frustrated, he wanders…

A: Displacement vector is, d→=dE→+dN→+dW→+dS→=35 mi^+20 mj^+-12 mi^+-6 mj^=23 mi^+14 mj^

Q: When a projectile is at the top/apex of its motion, how are the velocity, , and acceleration, ,…

A: Solution:

Q: A boat sails 100 km east then 200 km 60o south of east. How far and which way is it from the origin?

A: The required total traveled distance is,

Q: Gabby works as an aerial photographer. On one trip she takes off from the airport and flies 52km on…

A: here, she takes off from the airport and flies OA = 52km on a bearing N46°E. she then turns and…

Q: If you know the position vectors of a particle at two points along its path and also know the time…

A: As we know that,  The average velocity of a particle is defined by the total distance travelled…

Q: Vector A>has x and y components of equal magnitude. What canyou say about the possible directions…

A: Draw the diagram for vector A as:

Q: In the final game of last year's regular season, South was playing New Greer Academy for the…

A: Given, Displacements, Here, represents east, represents north, represents west and represents…

Q: A bullet is fired at an angle of 60° to the horizontal with an inital velocity of 200m/s. How long…

A: Initial velocity of bullet = 200 m/s Angle made with horizontal = 60° Time of flight of bullet…

Q: What kinematic equation/s would you use to help calculate the range of a projectile launched…

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Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction…

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Projectile Motion