Derive a formula that relates the displacement, final velocity, time and constant acceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use that formula to find the time it takes for a particle to attain a velocity of 30", given that the constant acceleration is 6 and the particle's displacement is 25m to the left of the origin.

Q: Determine (a) the magnitude of the acceleration when s 2 ft, and (b) the velocity as a function…

A:

Q: My pug/bulldog mix, Georgia, who is blind and deaf, gets a whiff of her dinner. As soon as it…

A:

Q: Consider a particle moving according to r (t) =, with t 20. Calculate the velocity and acceleration…

A: The rate of change of position is called velocity.  The rate of change of velocity is called…

Q: A particle is observed to start at rest and accelerates at a 30 + 2t, where t is in seconds, until…

A: acceleration a = 30+2t Retardation a= -0.003v2

Q: A particle travels along a straight line with a velocity of v = (4t - 3t²) m/s, where t is in…

A:

Q: Two trains, one travelling at 20.8m/s and the other at 76.2 m/s, are headed toward one another along…

A:

Q: The depth of a well can be determined by measuring the time of fall of a stone. How deep is the well…

A: the depth of the well is "s".time taken by the stone during downward motion(touching the water);…

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A:

Q: A particle is observed to start at rest and accelerates at a= 30 +2t where t is in seconds, until…

A:

Q: After jumping, a skydiver descends vertically towards the ground, with the parachute open, at a…

A: Here speed of skidiver is contant and it move 12.5m to reach  the ground after dropping a coin∴ time…

Q: A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an…

A: The formula for height , h (t) = -16t2 +136t +3  comparing to the quadratic equation , ax2 + bx +c ,…

Q: A particle's position is given by x = 6.00 - 15.00t + 3t², in which x is in meters and t is in…

A:

Q: Use the equation for the height of an object (in meters) at time t (in seconds) given below where so…

A: Given information: The position from which the object is tossed(S0) = 0 m (ground) The time it takes…

Q: In one dimension, does a negative acceleration mean that a particle is necessarily slowing down?…

A: given:- object moves in 1d with negative acceleration .

Q: At time, t = 0 s, car A is at rest at the origin of the coordinate system and car B is movir East at…

A:

Q: A boat is cruising in a straight line at a constant speed of 2.5 m/sm/s when it is shifted into…

A: Given, v0=2.5 m/sv=1.5 m/s∆x=11 mt=?

Q: At the time of 1 second, a particle has a velocity of 4 m/s and the distance is equal to zero. Given…

A: We need to find the velocity and position as a function of time t.

Q: A particle starts from rest at x = -2.3 m and moves along the x-axis with the velocity history…

A:

Q: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s, where t is…

A: Given: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s.…

Q: The SI unit of time of is sec Select one: O True O False

A: Introduction: Time is the duration in which all things happens, it is a fundamental physical…

Q: Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on…

A:

Q: Let a particle moves along x_axis, where x=5t-3t^2, and it's coordinate variesv with time. Calculate…

A: Given value--- x = 5 t - 3 t2 . t1 = 0 sec. t2 = 3 sec. We have to find--- average velocity?

Q: You throw a ball straight up from a rooftop 160 feet high with an initial velocity of 48 feet per…

A: For the ball we have, v0 = 48 ft/s s0 = 160 ft On substituting these values in the given equation,…

Q: - A particle moves along a straight line with a velocity v = (400s) mm/s, where s is in millimeters.…

A:

Q: An object is thrown vertically downward, from a height of 100 m, with an initial velocity of 20 m/s.…

A:

Q: Given a velocity function v(t) = 3t – 5(in meter per second) for a partic. in motion from time t = 0…

A: The total distance traveled includes both the positive and the negative values. V = ds/dt

Q: Automobiles A and B are traveling in adjacent highway lanes and at t=0 have the positions and speeds…

A:

Q: Describe a situation where the displacement and the total distance traveled for a particle are…

A: Distance is a scalar quantity which gives the total length of the path travelled from initial to…

Q: An egg drops from a second-story window, taking 1.24s to fall and reaching a speed of 12.2m/s just…

A:

Q: If the velocity of a particle is nonzero, can the particle’s acceleration be zero? Explain.

A:

Q: An object is moving along a straight line, so that its distance x m from the origin after t seconds…

A: Given, Position of particle in time t, x = 2t3 - 15t2 + 36t

Q: Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls…

A: For speed at height B cm By , V^2=U^2+2as        V^2 = A^2 + 2(-10)B ×10^-2        V = √(A^2 - 0.2B)…

Q: Derive a formula that relates the displacement, final velocity, time and constant acceleration of an…

A:

Q: In the 1991 World Track and Field Championships in Tokyo, Mike Powell jumped 8.95 m, breaking by a…

A:

Q: When are you most aware of motion in a moving vehicle - When it si moving steadily in a straight…

A: You are most aware of the motion in a movig vehicle if it's changing its speed i,e, when it is…

Q: A car can be braked to a stop from the autobahn-likespeed of 200 km/h in 170 m. Assuming the…

A:

Q: :) Our superhero is not entirely exempt from the laws of physics, however, and in order to reach…

A:

Q: The initial velocity (in m/s) of a particle is given by v0 = 3i - 4j. It experiences an acceleration…

A: Given data: Initial velocity v0 = 3i -4j acceleration, a=2i+5k time , t= 5.0 s

Q: A particle is moving with a velocity of 60m/s in the positive x-direction at t = 0s. Between t = 0s…

A: Given data: Initial velocity (Vi) = 60 m/s Time (t) = 15 s Final velocity (Vf) = 0 m/s Required: The…

Q: For the instant represented, car A has an accelera- tion in the direction of its motion, and car B…

A: Given data: The speed of car B is vB=45 mi/hr×1.467 ft/s1  mi/hr=66 ft/s. The radius of circle is…

Q: At a certain instant, a ball passes location (7, 21, -17) m. In the next 3 s, the ball's average…

A: Given:initial location of the ball, r1 = 〈7,21,−17〉 maverage velocity of the ball is, v =…

Q: In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long…

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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.