A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v⃗ =[ 5.00m/s − (0.0180m/s3) t2 ] i + [ 2.00m/s + (0.550m/s2) t ] j . a. What is the magnitude of the velocity of the car at t = 8.00 s? b. What is the direction (in degrees counterclockwise from + x-axis) of the velocity of the car at t = 8.00 s? c. What is the magnitude of the acceleration of the car at t = 8.00 s? d. What is the direction (in degrees counterclockwise from + x-axis) of the acceleration of the car at t = 8.00 s?

Q: An Osprey can fly horizontally (not diving) at a maximum speed of 70.0 km/hr. The bird takes off…

A: a. Use kinematics equations of motion. The initial speed (u) of the bird is zero. The expression for…

Q: The motion of a particle is described by the position function s(t) = t^3- 15t^2 + 63t, t>0 where t…

A:

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

A:

Q: An electron, in a picture tube of a TV set, travelling in a straight line, accelerates uniformly…

A:

Q: A level-flight bomber, flying at 400 ft/s, releases a bomb at an elevation of 7500ft. a. How much…

A: Velocity, u = 400 ft/s = 400/3.281 m/s = 121.92 m/s        (horizontally)  Velocity, u = 0…

Q: 3. An object's position as a function of time is given by the following formula: f(t) = {(0.25…

A: As per guidelines only 3 subparts are solved here.

Q: A package was thrown out of a window with an initial velocity of 2m/s. If the window is 2m above the…

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Q: Weddell seals foraging in open water dive toward the ocean bottom by swimming forward in a…

A: a) The required angle is, b) The required distance traveled is,

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

A:

Q: A rocket leaves its platform with acceleration ⃗ a= ( 4.00 ^i+2.00 ^j ) m/s2 and initial velocity…

A:

Q: An electron, in a picture tube of a TV set, travelling in a straight line, accelerates uniformly…

A: Given data:  Initial speed (v0) = 4.0 × 104 m/s Final speed (v) = 9.0 × 106 m/s Distance traveled…

Q: A car travels around a circle at a constant speed of 20.0 m/s. A magnetic compass in the car…

A: (4) Given: The constant speed of the car is 20 m/s. The initial direction of the car is the North…

Q: 1. An object's position as a function of time in the x-direction is given by; x(t) : 10 +5e-0.3t…

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Q: One afternoon, a student was going home after attending a calculus class. For this reason, the…

A: One afternoon, a student was going home after attending a calculus class. For this reason, the…

Q: A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 16…

A: Write the given values with the suitable variables. h=650 ftu=16 ft/sa=-32 ft/s2t=5 s Here, h, u, a,…

Q: A nerve impulse travels along a myelinated neuron at 66.5 m/s. a. What is this speed in mi/h? b.…

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Q: At time​ t, the position of a body moving along the​ s-axis is s=−t^3+12t^2−36t m. a. Find the​…

A:

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.