1. A particle initially located at the origin has an acceleration of a = 3j m's. and an initial velocity of -5i m/s. Find (a) the vector position and velocity at any time r and (b) the coordinates and speed of the particule at r=2 s.

Q: An object is moving in the negative y-direction at 20.0 m/s when it undergoes an acceleration a → =…

A: v→ = - 20 j^ m/s a→ = 1 m/s2 i^

Q: A particle starts moving from the origin in xy-plane with initial velocity = –2î +6j m/s. If the…

A: Given data The initial velocity is given as v1→=-2i^+6j^ m/s. The final velocity is given as…

Q: A particle is at rest and at x=0 and y=0 at time = 0. The particle then moves in the x-y plane with…

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Q: . A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after t…

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Q: 1. Unit vectors usually have a magnitude of 5. 2. The acceleration due to gravity in English unit is…

A: Answer:-  Answer (1) wrong  The magnitude of unit vector is 1 or unity.  Answer (2) wrong…

Q: A particle initially located at the origin has an acceleration of  = 1.00ĵ m/s2 and an initial…

A: Here, it is given that, initial location of the particle: origin Initial velocity of the particle: 9…

Q: How far from the origin has the particle gone after 0.11 minutes if Vx = 3m/s , Vy = 2 m/s and Vz =…

A: Given: vx=3 m/svy = 2 m/svz = 3.31 m/st = 0.11 m

Q: 8. At t = 0, a ball moving in two-dimensions with constant acceleration has a velocity of vi = (3.00…

A: (a) The acceleration of the ball in component form is, a→=∆v→∆t=v2→-v1→t2-t1=9.00i^+7.00j^…

Q: An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the…

A: Projectile motion is the motion in which a particle is thrown at specific angle and specific…

Q: The motion of a particle moving in a curved path is defined by the equationsv, = 9 – 3t + 0.6t²; vy…

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Q: a) magnitude of the position s of the particle. b) speed v of the particle. ( ) c) magnitude of the…

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Q: You are given a velocity with magnitude 60 m/s , with an x-component of -22 m/s what are two…

A: for given velocityV→ = Vxi^ +Vyj^Magnotude is given as V = Vx2+Vy2

Q: A particle P moves along the ar-axis. At time t seconds, its acceleration is 2e" m/s? in the…

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Q: A particle moves in the xy plane starting from time =0 second and position (Im, 2m) with a velocity…

A: (a) The initial position (x1,y1) is (1m,2m) at time t =0. Consider the position of the particle at…

Q: A particle initially located at the origin has an acceleration of a = 1.00j m/s2 and an initial…

A: a) The position of the object at any time t will be equal to its displacement since the object is…

Q: projectile is launched with an initial velocity of 10.0 m/s @30.0° from ground level. What's the…

A: Given : Initial velocity of projectile, u = 10 m/s angle of projection, θ = 30.0°

Q: An object moving in one dimension follows the trajectory as 7(t) = (7t- 3t +1)î (m) %3D Find the…

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Q: A particle acceleration is given by a(t) = At2 + Bt − C where A, B, and C are constants. At t = 0,…

A: The particle's acceleration function is given as, at=At2+Bt-C The initial boundary condition is…

Q: A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and…

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Q: 1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…

A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…

Q: From the origin, a particle starts at t = 0 s with a velocity vecv=7.0hatim//s and moves in the xy…

A: Velocity is independent from the acceleration applied in perpendicular direction. All motions in…

Q: The vector position of a particle varies in time according to the expression: r =( 20ti+(2 + 20t-5t…

A: The position vector of the particle is given as: r→=20t i^+2+20t-5t2j^ It is required to find its…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

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Q: A particle moving along the a-axis has its position described by the function x = (4.00t – 5.00t +…

A: Given data:  x = (4.00t3 - 5.00t + 5.00) m Time t in seconds

Q: A particle starts from the origin with velocity 5ˆi m/s at t = 0 and moves in the xy plane witha…

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Q: A particle leaves the origin with initial velocity vo = 1li + 18j m/s, undergoing constant…

A: Given: The initial velocity is u→=11i^+18j^ The acceleration is a→=-1.2i^+0.31j^ The direction of…

Q: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of v, = (3.00…

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Q: After firing an object at any angle between 0 and 90 degrees, the x component of the final velocity…

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Q: projectile fired at 0 follows a parabolic trajectory (Fig. 1), given in parametric form by x = 66t…

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Q: Your dog is running around the grass in your backyard. He undergo 11.0 west. What is the magnitude…

A: GivenDisplacement of dog4 m south11.3 m northeast11 m west

Q: An object is moving in space with an acceleration a(t) = -t i+3 j+(t – 3) k. SUTM Find the velocity…

A: Given a(t)→ = -ti^ + 3j^ + (t-3)k^ to find the velocity vector v(t) we have to integrate the…

Q: At t=0 a particle leaves the origin with a velocity of 5 m/s in the positive y direction. It's…

A: Given:Initial velocity along positive y direction = 5 m/sAcceleration = (2i-3j) m/s2

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

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Q: 0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: At t = 0, a particle moving in the xy plane with constant ac- celeration has a velocity of v; =…

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Q: Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball…

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Q: A particle undergoes three consecutive displacements: di (15i + 30j + 12k) cm, d2 = (23i – 14j-5.0k)…

A: We will divide the answer into two parts in which first we calculate Resultant displacement then we…

Q: A clown juggle balls while doing other activities. In one act, she throws a ball vertically upward,…

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Q: , The equation F(t) = 6 cos(3t) i + 4 sin(3t) j gives the position of a particle in the xy-plane at…

A: The equation F(t) = 6 cos(31) 7+ 4 sin(31) j gives the position of a particle in the xy-plane at…

Q: At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (8,0) in. If the…

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Q: A particle is moving along a circular path of 2-m radius such that its position as a function of…

A: To find: To find the magnitude of the particle’s acceleration when θ=30° using the given information

Q: A particle initially located at the origin has an acceleration of à = 2.1î m/s? and an initial…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A particle moves in the xy-plane, starting from the origin at t3D0 with an initial velocity having…

A: The final velocity in the x-direction is

Q: A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the…

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

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Q: A particle moves in the xy plane in a circle centered at the origin. At a certain instant the…

A: Since the velocity of the particle is +i, the particle is either at the top of the circle or at the…

Q: At time t=0 a particle moving in xy plane with constant acceleration has a velocity of Vo=(3i-2))m/s…

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –