A particle moves along a straight line with equation of motion s = ° – 1rt. Find the value of t (other than 0) at which the acceleration is equal to zero.

Q: Find the position and velocity of a particle at t = 1.96 s if the particle is initially moving east…

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Q: A projectile exits a launch tube with a velocity of 255 m/s. While accelerating through the launch…

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Q: A position vector is given by r(t) = 10m+5 tj. What is the displacement in the interval between…

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Q: Magnitude and direction of the position. magnitude   direction        Magnitude and direction of…

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Q: In order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar…

A: (a) Total distance traveled is D = (3.2) x5x60 + 2.7 x4x60 = 960 + 648 = 1608 m

Q: Problem 6:   A rock is thrown straight down from the Verrazano Narrows Bridge in New York City with…

A: Step 1: Draw the scenario: (Note: Take upward as the positive direction) Step 2: Construct the…

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of this question is to find the time at which the rocket reaches its maximum height.…

Q: question 2 A projectile is launched straight up in the air. Its height (in feet) t seconds after…

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Q: A woman walks 2.05 km south and then 2.75 km east, all in 2.60 hours. (a)What is the magnitude (in…

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Q: Find the position vector of a particle that has the given acceleration and the specified initial…

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Q: If an object is initially moving with a constant velocity of 20 m/s towards positive x-axis and…

A: Given data:     The initial velocity of object in positive x-direction is: v = 20 m/s The angle made…

Q: An athlete needs to get across a river. he must reach from point A on one side to point B, directly…

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Q: A vehicle is on a hill that has a 20 degree angle below the horizonal. An irresponsible driver…

A: Refer to the figure below :  The angle of inclination of the cliff is equal to the given angle as…

Q: A train slows down as it rounds a sharp horizontal turn, going from 96.0 km/h to 46.0 km/h in the…

A: Given Data: The initial velocity of a train is, v1=96 km/h The final velocity of a train is, v2=46…

Q: calculate the displacement over which the puck accelerates.

A: Introduction:We know, kinematic equation:s=ut+21​at2=ut+21​(tv−u​)t2=ut+2vt−ut​=2vt+ut​=(2v+u​)t…

Q: Write kinematic equations for distance and velocity describing a particle moving in the x-direction…

A: Given- Initial position x=4m Initial velocity u= 2m/s Acceleration a= 3m/s^2.

Q: Ball is thrown from the rooftop with an initial down with velocity of magnitude va= 1.1 m/s. The…

A: Given data: The initial downward speed is va=-1.1 m/s. The height of rooftop is h=-36 m.

Q: A person walks 2.80 km north and then 2.00 km east, all in 2.20 hours.   (a) What is the magnitude…

A: Draw the figure of the problem.

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.