The particle is moving along a straight path such that its velocity at any time t is given by v = 24t-6t^2 where v is in m/s. (a) what is the average velocity from t= 1 s to = 3 s? (b) what is the acceleration at t = 3s? (c) what is the average acceleration from t = 1s to t = 3 sec? (d) when does the particle change its direction of motion? (e) what is the distance covered from t= 1s to t= 5s

Q: v → = ( 6 t − 4 t 2 ) i ^ − 8 j ^.  Here v → is in meters per second and t in seconds. (a) What are…

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Q: Q20. An open tub rolls across a frictionless surface. As it rolls, rain falls vertically into the…

A: Given:: Quantitative explaination

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A:

Q: A ball is thrown vertically upward with a speed of 30.0 m/s.(a) How high does it rise?(b) How long…

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Q: A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is…

A: Displacement function, r(t) = 6t4-2t3 -12t2+3t+3  Average velocity, v = ?  Time at which…

Q: A particle moves along a straight line such that its position is defined by s=(4t^3 + 5t^2 -12t…

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Q: A particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) =…

A: a. the acceleration of the particle is

Q: 8. Suppose that the vector in problem 2. above represents a 30 mph wind. Sera is piloting an…

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Q: A bicycle, initially located xo = 2.3 m at time t-D0 seconds, has a velocity at time t given by v =…

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Q: The position of a particle is given by: x = 9.6 seconds. (a) When does the particle momentarily…

A: Position of particle is given by x=9.6-4.0t+2.0t2  A) if the particle is momentarily rest means its…

Q: A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x…

A: Given -                      r(t) = x(t) i + y(t) j           also   x(t) = 10t2   and y(t) = -3t…

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Q: 5, Shaudia drives her car east for 35.0 minutes at 80.0 km/h and then stops for 15.0 minutes. She…

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Q: I need help with question d,e,and f.

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Q: You throw a ball straight upward with constant acceleration. After 5.4 seconds the ball is at a…

A: let the initial velocity = u time = 5.4 sec height after 5.4 sec = 120 m

Q: A particle moves in a straight line with an initial velocity of 30 m/s and constant acceleration 30…

A: Given data:  Initial velocity (Vi) = 30 m/s Acceleration (a) = 30 m/s2 Time (t) = 5 s

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Q: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s, where t is…

A: Given: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s.…

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.