A repeating rifle fires 2 LR bullets such that as they travel down the barrel of the rifle their speed is given by v = (−5.10 ✕ 107)t2 + (2.70 ✕ 105)t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a)Determine the acceleration (in m/s2) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following as necessary: t. Round all numerical coefficients to at least three significant figures. Do not include units in your answers. Assume that the position of the bullet at t = 0 is zero.) a(t)=      m/s2 x(t)=       m (b)Determine the length of time the bullet is accelerated (in s).                  s (c)Find the speed at which the bullet leaves the barrel (in m/s).                m/s

Q: A particle moves according to a law of motion s = f(t) = t³ - 15t² + 72t, tz 0, where t is measured…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A:

Q: The position of a particle is: r(t) = [(4.62 m/s^2) t^2] i + (-3.38m) j + [(4.04 m/s^3) t^3] k…

A:

Q: d ld da moon at y = 0 m. The velocity of the rocket is given by the equation:…

A: Given: The initial position of the rocket is, y=0. The equation for the velocity of the rocket is,…

Q: A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by…

A:

Q: A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 29.0 m/s in a distance of  Δx =…

A: Given data:  Initial velocity (Vi) = 20.0 m/s Final velocity (Vf) = 29.0 m/s Distance (Δx) =…

Q: A spacecraft has an initial velocity V; =(-32.2 m/s) î+(20.3 m/s)ĵ. The thrusters are fired, and the…

A:

Q: The speed of an object moving through a viscous fluid is given by v(t)=A⋅e^(−b⋅t). (a) If the…

A:

Q: A spacecraft starts from rest, and makes a journey to a destination 330000 km from its starting…

A: Total distance travel by spacecraft = 33000km acceleration of space Craft in 1st half part of…

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

A:

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: An object's position as a function of time is given by the expression; x(t) = 14.7/(t+1) + 2.9t3 -…

A:

Q: An object's position can be modeled with the following function: s(t) = 2cos(2πt) +t^2, where t is…

A:

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

A:

Q: The distance s(t), in meters, is given as a function of time, in seconds, below.…

A:

Q: An object moves along the x axis according to the equation x = 3.95t2 - 2.00t + 3.00, where x is in…

A:

Q: A sports car moving at constant velocity travels 130m in 4.9s. It then brakes and comes to a stop in…

A: First we find the initial speed of the car then we apply equation of motion to find the acceleration…

Q: An unidentified flying object (UFO) is observed to travel a total dist starting and ending at rest,…

A:

Q: vo-dimensional motion: An object has a position given by r = [2.0 m + (3.00 m/s)t]i + [3.0 m - (2.00…

A:

Q: An object is thrown upward with an initial velocity of 17.3 m/s from a location where the…

A: Given,  Ball thrown upward (consider upward direction positive). then  Initial velocity of ball (vi)…

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

A:

Q: A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.80 m/s³)t3 where x…

A: Given data: Position of the car,  x=6.0 m/st+0.80 m/s3t3

Q: The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The…

A:

Q: An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their…

A:

Q: On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x…

A:

Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

A:

Q: The velocity of a particle moving in the xy plane is given by ✓ = ( 5.5 t – 5.0 t²)î + 9.0 ĵ, with 7…

A: Given that, The velocity v→ of a particle moving in the xy-plane is given by v→=5.5t-5.0t2i^ + 9.0j^…

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.