A level Linear and Rectilinear Motion Quiz. Linear motion (also called rectilinear motion) is a 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; 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 which varies with 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.
Neglecting the rotation and other motions of the Earth, an example of linear motion is the ball thrown straight up and falling back straight down.
What is the length of a train which crosses a bridge of 150 m in 20 sec with a speed of 40 km/h?
During unidirectional motion, the displacement and distance traveled by a particle with uniform acceleration is ______
At zero acceleration a particle moves along a straight line. What is the velocity of a particle at the position of
x = t^4 -20t^2 + 42 ?
What is the initial velocity of an object which travels a distance of 10t^2 +15t + 5 along a straight line in time t?
A bus travels with a speed of 15 m/s when accelerated at 0.10 m/s^2 from its rest position. What is the distance traveled?
A ball dropped from a wall of height h travels a distance of 50 m in last two seconds before landing. What is the height of the wall from which the ball was dropped?
What is the distance traveled by an electron in first 4 seconds from its initial position, if velocity time relation is given as
v = 3t?
For a particle accelerating along a straight line, what is the definition of its velocity?
Acceleration of a train when it is moving steadily from 4.0m/s to 20m/s in 100s is?
A train travelling at 20m/s accelerates at 0.5m/s^2 for 30s. The distance traveled by the train is