Question

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.

Answer 1

Non accelerated straight line motion.

Step-by-step explanation:

Four key components of describing motion:

• Displacement
• Velocity
• Acceleration
• Time

We can see from the graph that ,

The displacement
`x` vs time
`t` is a straight line.

Let's assume that the y-intercept is
`x_(0)` . Thus , the equation of the line will be ,

`x = x_(0) + ct` ----1

Where
`c` is a constant or the slope of the line .

The equation of motions for a rectilinear straight line motions are :
`x=x_(0)+ut+(1)/(2) at^2 \\v^2-u^2=2ax\\v=u+at`

By comparing the first equation of motion with equation 1 ,

we see that the coefficient of
`t^2` term must be zero. Thus ,

`(1)/(2) a = 0;\\a=0;`

• ACCELERATION = 0;

Thus , from the other equations of motion ,

`v=u;\\`

• VELOCITY IS CONSTANT

∴

• 
  `x`∝
  `t`