What is Motion in a straight line: Definition and 13 Discussions

Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion with constant velocity or zero acceleration; and non-uniform linear motion with variable velocity or non-zero acceleration. The motion of a particle (a point-like object) along a line can be described by its position


{\displaystyle x}
, which varies with


{\displaystyle t}
(time). An example of linear motion is an athlete running 100m along a straight track.Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force. Under everyday circumstances, external forces such as gravity and friction can cause an object to change the direction of its motion, so that its motion cannot be described as linear.One may compare linear motion to general motion. In general motion, a particle's position and velocity are described by vectors, which have a magnitude and direction. In linear motion, the directions of all the vectors describing the system are equal and constant which means the objects move along the same axis and do not change direction. The analysis of such systems may therefore be simplified by neglecting the direction components of the vectors involved and dealing only with the magnitude.

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  1. K

    Motion in straight line in bungee jumping

    vf²= vi² +2as vf² = (19,44)² + 2(9,81)(47) vf = 36,05 m/s to find the t, we can use formula: t = (vf - vi)/a t = (36,05 - 19,44)/9,81 t = 1,693 s. Is it correct?
  2. DracoMalfoy

    Kinematics: Motion in One Direction: Car Chase

    Homework Statement A car traveling at a constant speed of 24.0m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in a chase with a constant acceleration of 3.0m/s^2. A) How long does it take the trooper to overtake the...
  3. DracoMalfoy

    Motion in One Dimension: The Tortoise and The Hare Race

    Homework Statement A turtle and a rabbit engage in a footrace over a distance of 4.00km. The rabbit runs 0.500km and then stops for a 90min nap. Upon awakening, he remembers the race and runs twice as fast. Finishing the course in a total time of 1.75h, the rabbit wins the race. A) Calculate...
  4. DracoMalfoy

    Kinematics: Two engines, One Rocket, and Displacement.

    Homework Statement A Rocket with an engine that causes a net acceleration of 4m/s^2 launches with an initial velocity of 20m/s. The engine fuel lasts for 0.8s. A secondary engine then fires causing a net acceleration of 2m/s^2 for 0.6s How far off the ground is the rocket when the secondary...
  5. DracoMalfoy

    Trouble with another Kinematics question

    Homework Statement A person riding a bike travels at an average velocity of 3m/s for 30min. The person then takes a water break for 15 min. The person finally travels a distance of 450m at an average velocity of 1.5m/s. What is the persons average velocity? 2. Homework Equations [/B] Average...
  6. DracoMalfoy

    Calculating Acceleration for a Car Stopping on a Dime: Kinematics Question Help

    Homework Statement A commercial claims that a car can stop on a dime (17.9mm). If a car is initially traveling at 13.4m/s, what acceleration would the car experience coming to a stop in that short distance? Homework Equations avg acceleration Coversion The Attempt at a Solution I recognize...
  7. DracoMalfoy

    Average Acceleration Calculation for Ball Bouncing off a Tennis Racket

    Homework Statement A ball is traveling at 3m/s then bounces off of a tennis racket and returns at 2m/s. If the ball is in contact with the racket for 12ms, what is the average acceleration? Homework Equations average acceleration and conversion a=Vf-Vi/Tf-Ti 1s= 1000ms The Attempt at a...
  8. DracoMalfoy

    Kinematics Equations: Displacement Calculation with a Wheel | Homework Help"

    Homework Statement A straight line is marked in meters in a field. A student begins at the zero position mark and ends at the 50 position mark. However, the student did not walk along the straight line. He uses a wheel that has a circumference of 1m and finds that it turns 100 times as he...
  9. DracoMalfoy

    Need help with this question regarding kinematics.

    Homework Statement a) A ball is thrown in the -y direction off of a cliff with a velocity of 7m/s. If the ball takes 1.45s to reach the ground, how high off of the ground is the cliff? (Answer: -20m) Homework Equations Vf=Vi+a(t) Displacement=Vi(t)+1/2a(t)^2 Vf^2=Vi^2+2a(Displacement)...
  10. babaliaris

    Friction Force: Why do we walk?

    I created this example to see if i can explain how humans walk but I can't. If I'm correct, when we push the ground to move forward we apply a force with the opposite direction (backward). Let's name this force Fp (for push). Because of that force, a friction force is being applied to us with...
  11. S313

    Linear Motion Formulas for an Inclined Plane

    Homework Statement The initial speed of a ball up an inclined plane is 3 m/s upwards. The ball reaches its highest point after 1.2 seconds. a) find the acceleration. b) how far has the ball gotten during this time? c) how far has the ball rolled after 0.4 s and after 2.4 seconds? Homework...
  12. Erenjaeger

    How Do You Calculate Initial Velocity in a Vertical Ball Throw?

    Homework Statement Concept Simulation 2.3 provides some background for this problem. A ball is thrown vertically upward, which is the positive direction. A little later it returns to its point of release. The ball is in the air for a total time of 8.21 s. What is its initial velocity? Neglect...