A particle's position as a function of time is given by the equation m r(t) 4.00 %3D S S а. What is the particle's velocity as a function of time? (Leave your answer in component form.) What is the particle's average velocity between t=-1.00s andt=+2.00s ? (Leave your answer in component form.) b.

Q: A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3…

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Q: magnitude of the acceleration

A: Given: Position vector as r→t=5.05t2, 3.57t3, 3.96t Find: Magnitude of acceleration at time t=1.11 s

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Q: Problem 12: A particle moves in a straight line at a constant speed of 32.3 m/s. What is its…

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Q: Question 2: A particle has the following position vector 7 = Ae-ati + Bt³3+ Ct²k where A, a, B, and…

A: Position vector of the particle is, r→=Ae-αti^+Bt3j^+Ct2k^ Velocity is the rate of change of…

Q: hiker walks 4.66 m, E and 6.25 m, N. What is the direction of his resultant displacement?

A: Hiker displacement given as,4.66 m east and 6.25 m Northresultant direction of displacement, θ=?

Q: = At time to = 0s, a jogger is heading due east with speed Vo = 1.4 m/s. At time t₁ = 3.0s, she is…

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Q: A red-eye tree frog jumps straight up to a vertical height of 1.10 m. Take ?=9.80m/s2. 1. What is…

A: Given: maximum height reached, H = 1.10 m

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Q: The components of the position r(t) of a particle are What is the magnitude of the…

A: To find the magnitude of the acceleration of the particle at time 5.67s, we first need to find the…

Q: A bird watcher meanders through the woods, walking 1.56 km due east, 0.600 km due south, and 3.69 km…

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Q: Taking north to be the positive y direction and east to be the positive x direction, a particle's…

A: The objective of the question is to find the time at which the particle is traveling exactly…

Q: A football played runs for a distance d1=7.32 m in 1.07 s at an agle of 44.4 degrees. Then turn left…

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Q: The acceleration of a particle is given by ax(t)=? 2.05 m/s2 +(2.98 m/s3 )t. Part A Find the initial…

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Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.