A particle moves along the x axis according to the equation x = 1.99 + 3.05t – 1.00t, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.40 s. (b) Find its velocity at t = 3.40 s. m/s (c) Find its acceleration at t = 3.40 s. |m/s2

Q: A particle has an initial velocity of 5.00 m/s and it moves along the x-axis. Its acceleration is…

A: Acceleration is the rate of change of velocity a = dv/dt

Q: An object moving in one dimension accelerates from rest at a constant rate of a1=8 m/s2 for a time…

A: According to question we need to find--- Find the distance traveled by the object during the final…

Q: At t=0, an object moves with an acceleration a=-4t³i+3t³j. (a) Determine the magnitude of the…

A:

Q: Paola can flex her legs from a bent position through a distance of 22.1 cm. Paola leaves the ground…

A:

Q: 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…

A:

Q: Part (a) What is the velocity at time 5.6 s? Part (b) What is the acceleration at time 16.8 s? Part…

A: a) Velocity at the time 5.6s=10 m/s b) Acceleration from Velocity- time graph time=16.8 s velocity…

Q: find (a) its velocity(b) acceleration after 5s.,(c) plot a graph of the velocity(Y) vs time (X)and…

A: Given, x0 =29cos 95 y0 =29 sin95 vix=4.5 cos 40 viy=4.5 sin40 aix=1.9cos200 aiy=1.9sin200

Q: An object moves along the x-axis according to the equation x(t) = (3.00t3 – 2.00t + 1.00)m.…

A: Given,

Q: A motorcycle has a constant acceleration of 5 m/s2. Both the velocity and acceleration of the…

A: Acceleration of the motorcycle, a=5 m/s2 The velocity at the time t=4 s is v=60 m/s

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

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

A:

Q: particle moving along the x-axis has its position escribed by the function x =( 2.00 t³-4.00 t+ 5.00…

A:

Q: The position of a particle is 7 (t) = (4t"a+ 6y – 2t£) m. a. Determine its velocity and acceleration…

A: r(t) = 4t2i + 6j - 2tk m

Q: A racing enthusiast claims that his sports car will accelerate from rest to a speed of 43.0 m/s in…

A: SOlution: Given that car started from rest to speed of 43 m/s in 8.1 s

Q: A speedboat moves on a lake with initial velocity vector ?1,?=8.81 m/sv1,x=8.81 m/s and ?1,?=−2.45…

A: Given, The initial speed of the speedboat,  v1x = 8.81 msv1 = -2.45 ms Time, t = 6.63 s…

Q: A spaceship is traveling at a velocity of when its rockets fire, giving it an acceleration of V = Vo…

A: Given data:  Initial velocity (v0) = (37.9 m/s)i Acceleration (a) = (2.52 m/s2)i + (4.19m/s2)j Time…

Q: Position of a particle moving along the x-axis varies in time according to the following expression…

A:

Q: Wags decides to go on another adventure. He begins by traveling east for 100m. He then moves 75 m in…

A: Given data,  Distance travelled towards East = 100m Distance travelled towards west =75 m With…

Q: Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in…

A: The downward velocity of cylinder B is vB = 0.75t2 + 0.45t3.The time is 2.46 sec.

Q: Vx (m/s) 12 8 4 0 1 2 3 4 -t (s) 7. | FIGURE EX2.7 shows the velocity graph for a particle having…

A: Given ,

Q: 1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an…

A:

Q: 5. A 135g particle moves along the x axis according to the equation. =4.00-1.00 +3.00t2 -2.05t where…

A:

Q: In reaching her destination, a backpacker walks with an average velocity of 1.01 m/s, due west. This…

A: Write the expression for the average velocity and elaborate the expression.

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.