The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x =0 at the location of the front of the passenger train when the engineer applies the brakes. a) Will the cows nearby witness a collision? b) If so, where will it take place

Q: A red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At…

A: Given:Initial position of the red car: xr,i=0 mInitial position of the green car: xg,i=212 mFirst…

Q: An unsuspecting bird is coasting along in an easterly direction at 3.00 mph when a strong wind from…

A: 1) initial velocity = 3 mph along eastacceleration provuded by wind from south = 0.3 ms2 time = 2.50…

Q: A bicycle, initially located xo = 2.3 m at time t=0 seconds, has a velocity at time t given by v =…

A: Write a given values of this question.

Q: An object moving with uniform acceleration has a velocity of 10.5 cm/s in the positive x-direction…

A: Using kinematic equation, the expression for find acceleration is ∆x=ut+12at2a=2∆x-utt2=2xf-xi-utt2

Q: A train approaches a small town with a constant velocity of +28.6 m/s. The operator applies the…

A:

Q: A bullet is fired through a wooden board with a thickness of 8.0 cm. The bullet hits the board…

A:

Q: A red train travelling at 72 km/h and a green train travelling at 144 km/h are headed toward each…

A:

Q: An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive × direction…

A: Initial velocity, u=11.0 cm/sInitial position, xi=2.88 cmFinal position, xf=-5.00 cmTime, t=1.95 sec

Q: You are stopped at a red light, waiting for it to turn green. At the instant the light turns green,…

A:

Q: An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction…

A:

Q: At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial…

A: Given, Initial Position of car 1 (x1) = 13.0 cm Initial Position of car 2 (x2) = 9.5 cm Initial…

Q: Don't use chat gpt

A:

Q: A jet plane traveling horizontally at v0x = 1.40  102 m/s drops a rocket from a considerable height…

A: Solution:-                Given,            v0x=1.40×102m/s=140m/s            ax…

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 22.0° below…

A: Given data The cliff angle is: θ = 22° The car’s initial speed is: u = 0 The car’s constant…

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° below…

A:

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 18.0° below…

A: Given:angle of inclination, θ = 18.0oconstant acceleration of the car, a =2.90 m/s2distance…

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° below…

A: Given, angle of inclination of plane, φ= 21.0°initial speed of the car, u = 0 msacceleration, a =…

Q: A particle is initially moving along the positive x-axis at a speed of 8.20 m/s. After 2.05 s, the…

A: As per given,  Initial velocity u = 8.20 m/s   Final velocity  v = 4.67 m/s  time taken by particle…

Q: A bullet is fired through a board 10.0 cm thick in such a way that the bullet’s line of motion is…

A:

Q: Why is the following situation impossible? A freight train is lumbering along at a constant speed of…

A: consider the diagram,

Q: While an airplane is in flight, the pilot announces that an emergency landing has to occur.  In…

A: Given quantities: mass of the passenger (m) = 82 kg height through which it descends (H) = 391 m…

Q: When a high-speed passenger train traveling at vp = 159 km/h rounds a bend, the engineer is shocked…

A: The distance,

Q: At time t = 16 s, the velocity of a particle moving in the x-y plane is v = 0.12i + 2.69j m/s. By…

A:

Q: An object moving with uniform acceleration has a velocity of 13.0 cm/s in the positive x-direction…

A:

Q: a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At…

A:

Q: A sports car moving at constant velocity travels 120 m in 5.0 s. If it then brakes and comes to a…

A:

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 23.0° below…

A:

Q: Two trains, one training at 72.0km/h and the other at 144km/h, are headed toward one another along a…

A:

Q: A park ranger driving on a back country road suddenly sees a deer "frozen" in the headlights 22.98 m…

A: Given data The distance of the deer from the ranger car is d = 22.98 m. The initial velocity of the…

Q: A red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At…

A: Position of red car (xr) = 0 m Position of green car (xg) = 218 m constant velocity of red car (vr)…

Q: A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a…

A:

Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…

A: (a) The magnitude of acceleration is given by,

Q: Amtrak's 20th-Century Limited is en route from Chicago to New York at 120 km/h when the engineer…

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.