A particle moves along the x axis according to the equation x = 1.93 + 2.96t – 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.10 s. m (b) Find its velocity at t = 3.10 s. m/s (c) Find its acceleration at t = 3.10 s. m/s2

Q: A beetle walks along the ground going to the east at 0.200km/hr  for 1.000min., then he stops and…

A: Given data: The speed at which the beetle moves for the first t1 time, v1=0.200 km/hr. The time…

Q: A bus travels 2.0 x 102m with a constant acceleration of magnitude 1.6 m/s2. How long does the…

A: Given   Distance d= 2*10² m Acceleration=a =1.6 m/s² Vi = initial velocitt = 8.0 m/s

Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…

A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8

Q: The acceleration of a particle along an x axis is a = 6.2t, with t in seconds and a in meters per…

A:

Q: 3. A man walks 600 m due west and then goes 400 m in a direction 30° northwest. What is his…

A:

Q: The position of a particle is given by the expression x = 2.00 cos (2.00rt + x), where x is in…

A: Given that expression for the position of the particle Is x = 2.00 cos ( 2.00 π t + π) m Here x is…

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: A ball is launched from ground level with an initial velocity of 6.0 m/s [up] and 8.0 m/s [right].…

A: Given value--- A ball is launched from ground level with an initial velocity of 6.0 m/s [up] and…

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 particle moves along the x axis according to the equation x 2.08 + 3.02t - 1.00t, where x is in…

A: Given Equation , x = 2.08 + 3.02t - 1t2  To find = a) position at t = 2.8 s                b)…

Q: An object moves along the x-axis according to the equation x(t) = (3.00 ² -2.00 +3.00) m, where t is…

A:

Q: An object moves in one dimensional motion with constant acceleration a = 4.5 m/s². At time t = 0 s,…

A:

Q: A particle's position along the x-axis is given by the equation;   x(t) = 1t^4 − 2t^1 + 8 where ?x…

A:

Q: The acceleration of a particle is given by a = A√t 5 where A = 2.5 m/s2. Att = 0, v = 6.2 m/s and x…

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: The position vector of a particle is given by r (t+1)1 + (t°+1)} m, where t is measured in s. What…

A:

Q: A basketball referee tosses the ball straight up for the starting tip-off. At what velocity (in m/s)…

A: Given, The height that player need to attend, H= 1.20 m Topmost velocity of the player (v) = 0 m/s…

Q: A basketball referee tosses the ball straight up for the starting tip-off. At what velocity (in m/s)…

A:

Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: An object has a displacement s at time t given by the equation: s = 5√t - 3t^3. What is the…

A:

Q: The position of an object as a function of time is given by x(t) = bt³ - ct² + et where b = 1.8…

A: Given value--- x = b t³ - c t² + e t - f . We have to find--- Instantaneous acceleration at t =…

Q: A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is…

A:

Q: A basketball referee tosses the ball straight up for the starting tip-off. At what velocity (in m/s)…

A: Required  Launch velocity

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

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.