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
x
{\displaystyle x}
, which varies with
t
{\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.
Homework Statement
I am unable to solve part b and please help me check whether is there anything wrong with my graph..:redface:The Attempt at a Solution
Segment A
Vi=0
V=3
S=60
a=9.81
v=vi+at
3=0+9.8(t)
t=0.305s
Segment B
Vi=3
V=0
a=-2
v=vi+at
0=3-2t
t=1
t=1+0.305=wrong answer :cry:
how were these equations derived or found?
x = xo + vot + 1/2at2I tried to use v=(xf-xi)/(tf-ti) and a=(vf-vi)/(tf-ti)
but I don't know where the 1/2 comes from
also this one:
v2 = vo2 + 2a(xf-xi)
Homework Statement
If the acceleration of a particle on a horizontal line is x where x represents the position in centimetres from the starting position of zero and if the initial velocity is 8 centimetres per second find the velocity of the particle when it is in a position of 15...
Homework Statement
Compare the role played by the moment of inertia in rotational motion, to that played by mass in linear motion.
Homework Equations
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Homework Statement
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Homework Equations
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Homework Statement
http://img842.imageshack.us/img842/2149/xycoordinate.jpg
The...
Homework Statement
Heres is the problem I am trying to solve:
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Homework Statement
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Homework Statement
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Homework Equations
w = alpha/time
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The Attempt...
Homework Statement
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Homework Statement
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Homework Statement
As block B moves upward with constant speed 2 m/s, pin A glides through the semicircular slot. At the position shown, determine the velocity of A.
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Homework Equations
Not sure
The...
Homework Statement
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Homework Statement
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Homework Statement
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The Attempt at a Solution
this is my working:
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Homework Statement
2 linear motion problems
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Homework Statement
2 linear motion problems
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hi i have 2 questions on linear motion that i could use some help on step by step.
1. Jules Verne in 1865 proposed sending men to the moon by firing a space...
hi i have 2 questions on linear motion that i could use some help on step by step.
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Homework Statement
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Homework Statement
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Homework Statement
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Homework Statement
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Homework Statement...
Linear Motion --Velocity and Acceleration
Homework Statement
[10] A toy car travels along a straight line. Its position x varies with time as shown on the x-t graph. The equation of motion in the A-C interval is given by
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Homework Statement
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[b]2. Homework Equations
h=h0 +...
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Homework Statement
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1. Homework Statement
A system consists off two small disks of masses m and 2m that are on a plane. The length that connects the two mass is of negligible mass is is 3L long. The rod is free to rotate on a vertical axis P and the mass 2m lies L away from P and the mass m lies 2L away from P...