8. The acceleration of a taxi cab is a, = bt -ct2. The taxi cab was not moving a t = 0. %3D A. What is the position and velocity as functions of time? B. What is the maximum velocity that the taxi cab will reach?

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A: Answer:-  Given  Initial speed (u) = 22.0 m/s  Final speed (v) = 37.0 m/s  Distance travelled (S) =…

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Q: 1. Treat the motion of a particle which moves along the s-axis as shown. +. -1 + s, ft or m 21 3.…

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Q: An object is dropped from a​ tower, 160ft above the ground. The​ object's height above ground t sec…

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Q: Q2/ f. A dynamic blast blows a heavy rock up with velocity of 160m/sec It reaches a height of S =…

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Q: 1. An airplane flies 650 kilometres east in 1.2 hours. What is the airplane's velocity? 2. Yelena's…

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Q: A stone is thrown vertically upward from the ground with a velocity of 15 m/sec. One second later,…

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Q: 1. A stone is thrown vertically upward from the ground with a velocity of 15 m/sec. One second…

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Q: 5. A football is kicked vertically upward from the ground and a student gazing out of the window…

A: The football is moving with a speed 5 m/s. The height of the window is 10 m from the ground.

Q: 28. An auto manufacturer boasts that its newest sports car model "goes from 0 to 60 (mi/h) in 5.00…

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Q: A stone is thrown vertically upward with an initial velocity of 3 m/sec from the top of a tall…

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Q: 1. A vehicle drives at a constant speed of 215km/h for 42.3 seconds, accelerates by 29.4m/s2 for…

A: As you have posted multiple questions, we will solve the 1st question for you with all subpart. If…

Q: An object is dropped from a tower, 157 ft above the ground. The object's height above ground t sec…

A: Given data The height of the tower is h = 157 ft The expression for the height above the ground is s…

Q: An object is dropped from a​ tower, 200 ft above the ground. The​object's height above ground t sec…

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Q: 5. A car with an initial velocity of 9 m/s, accelerates at a constant rate of 3.6_ m/s. a. How much…

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Q: 1. Is it possible that the magnitude of the speed is also the magnitude of the velocity? Explain…

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Q: 2. The rocket starts from rest to and travels straight up. Its . height above the ground can be…

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Q: A particle moves along a horizontal line according to the equation s(t)= t³-6t²+5 where s is in…

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Q: 12. A ball is thrown straight up into the air. At each of the following instants, is the magnitude…

A: A ball is thrown straight up into the air.

Q: A particle moves in one dimension in such a way that its velocity is given by v(t) = (8 m/s3)t2 - 10…

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Q: 8. An engineer is designing the runway for an airport. Of the planes that will use the airport, the…

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Q: I see that an object has is decelerating, what does this tell me about A? A. Nothing at all, what…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet…

A: Given:-  The initial velocity of the object is u = 96 ft/sec. The object launched from a height of h…

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A: The acceleration of the car is given  as a function of time  a(t) = A -Bt +Ct2 where A = 1.0 m/s2, B…

Q: 2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average…

A: Solution:-

Q: 3. A body moves in a straight line according to this equation of motion: s(t) = 10t² - 4t + 8, where…

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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.