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The graph below shows the motion of a bicyclist. Describe the motion of the bicyclist. Be thorough and detailed; be sure to include the four key components of describing motion in your response.

The graph below shows the motion of a bicyclist Describe the motion of the bicyclist Be thorough and detailed be sure to include the four key components of desc class=

Respuesta :

Answer:

Non accelerated straight line motion.

Explanation:

Four key components of describing motion:

  • Displacement
  • Velocity
  • Acceleration
  • Time

We can see from the graph that ,

The displacement [tex]x[/tex] vs time [tex]t[/tex] is a straight line.

Let's assume that the y-intercept is [tex]x_{0}[/tex] . Thus , the equation of the line will be ,

[tex]x = x_{0} + ct[/tex] ----1

Where [tex]c[/tex] is a constant or the slope of the line .

The equation of motions for a rectilinear straight line motions are : [tex]x=x_{0}+ut+\frac{1}{2} at^2 \\v^2-u^2=2ax\\v=u+at[/tex]

By comparing the first equation of motion with equation 1 ,

we see that the coefficient of [tex]t^2[/tex] term must be zero. Thus ,

[tex]\frac{1}{2} a = 0;\\a=0;[/tex]

  • ACCELERATION = 0;

Thus , from the other equations of motion ,

[tex]v=u;\\[/tex]

  • VELOCITY IS CONSTANT

∴

  • [tex]x[/tex]∝[tex]t[/tex]

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