4-A particle moves in a helical path such that its position in cylindrical coordinate given by R=b Find the speed and the magnitude of the acceleration as a function of t.

Q: ) How long, in seconds, does it take the sandbag to reach the ground from the moment it falls off…

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Q: he centripetal acceleration of a particle moving in a circle is a = ²/r, where v is the velocity and…

A: Given: The error in the velocity is 9%. The error in the radius of the path is 4%.

Q: An object starts motion from the origin at t=0 s with initial velocities Vx=25 m/s and Vy=-5 m/s.…

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Q: A car starts from rest at time t = 0 and moves around a circular track of radius 100 m. Its speed…

A: Given: The radius of track is R=100 m. The tangential acceleration is aT=2 m/s2. The initial…

Q: In an Internet video an athlete launches a basketball from a stadium platform that is 16.2 m higher…

A:

Q: Problem 4: A rugby player passes the ball 7.8 m across the field, where the ball is caught at the…

A:

Q: Initially, an object in uniform circular motion (assume clockwise motion) has a ve vector given by…

A: We know that we have given that the velocity vector as  v0→= -3.0 i^+4.0  m/s  The object is in…

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

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Q: 9. An owl is carrying a mouse to the chicks in its nest. The owl is at that time is 4 m west and…

A: SOlution: As given that owl is at that time is 4 m west and 10.5 m above the center of the 34 cm…

Q: Q/A particle is moving in a circular path with a constant speed of 6m/s If the diameter of the…

A: Solution:-Given thatConstant speed of particle (V)=6 m/sDiameter of the circular path (D)=3 m

Q: A car is traveling around a horizontal circular track with radius r = 260 m as shown. It takes the…

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Q: 1. Suppose you take a ball to the top of a building that is 12.0 m high, and the horizontal distance…

A: Motion of projectile can be divided into x component and y component.

Q: 1. A particle initially located at the origin has an acceleration of a = 3j m's. and an initial…

A: Given data: The acceleration of the particle is, a→=3 m/sj^ The initial velocity of the particle is,…

Q: Determine the acceleration of the wallet.

A: Centripetal Acceleration The acceleration of a particle, moving in a circular motion acting towards…

Q: A 1 kg projectile was shot from the edge of the cliff above ground level at an angle O=42°. 10s…

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Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

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Q: A projectile fred from the point (0.0) at an angle to the positive x-axis has a trajectory given by…

A:

Q: If a body moves with a uniform speed in a circular motion, then______.   A) its acceleration is…

A: In the uniform circular motion, the speed is constant but the direction of motion is changing every…

Q: 4) In terms of the distance s from the center of the earth, the magnitude of the acceleration due to…

A: The objective of the question is to find the initial velocity required for a spacecraft to reach a…

Q: A hawk flies in a horizontal arc of radius 13.6 m at a constant speed 3.60 m/s. (a) Find its…

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Q: 6) You push a ball off a desk so that it rolls with a constant velocity of 5 m/s. If the desk is 2 m…

A: In this question we have to answer some questions related to the motion of the ball. Please give…

Q: 1- A sailor is stuck on a tropical island and emergency supplies are airlifted to him before a ship…

A:

Q: Finding curvature At point P, the velocity and acceleration of a particle moving in the plane are v…

A: v = 3i + 4j a = 5i + 15j

Q: 4. A projectile if fired from the top of a cliff of height h above the ocean below. The projectile…

A: if doubt arises, please mention in the comments.

Q: 1. A football is kicked with an initial velocity magnitude of 25 m/s at an angle 45-degrees above…

A: Initial velocity magnitude, v=25 m/s Angle of projection above horizontal =45 o

Q: A hawk flies in a horizontal arc of radius 13.8 m at a constant speed 3.20 m/s.

A:

Q: 04 The position vector of a material point is: r(t) = t³i + (3t+ 2)j+ (t-1)k For time t to be…

A: Position vector of a material point is A) Velocity is the first derivative of position vector with…

Q: A ball is moving along a circular track. What can be said about the orientation of the velocity and…

A: Solution: Consider a ball moving along a circular track as shown in the figure below:…

Q: A car leaves a stop sign and exhibits a constant acceleration of 0.50 m/s2 parallel to the roadway.…

A: Given: The tangential component of the acceleration is aT=0.50 m/s2. The radius of the circle is…

Q: A fish swimming in a horizontal plane has velocity v, = (4.00 i + 1.00 j) m/s at a point in the…

A: Given, Initial velocity, vi=4i^+1j^ m/s Final velocity, vf=17i^-6j^m/s Time,t=15s a. Acceleration,…

Q: Shown in the figure is the path (trajectory) of a particle during a time interval and its velocity…

A: The horizontal velocity dxdt of the particle at this instant. given, Speed at that instantv=10…

Q: The figure shows a hill that is inclined at an angle a = 45° relative to the vertical. A projectile…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: 2. The car shown passes point A which is our origin, i.e. s = 0 at A. The speed of the car increases…

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Q: 1) An arm OA rotates around the origin O according to the angle 2 0.15t where 0 is in radians and t…

A: Given,In polar coordinates, the velocity vector of the collar at time t,

Q: For an object moving in uniform circular motion, the direction of the instantaneous acceleration…

A: Required Correct Option