Amotorcycle has a constant acceleration of 2 m/s2. both the velocity and acceleration of the motorcycle point in the same direction. (a) how much time is required for the motorcycle to change its speed from 16 m/s to 25 m/s? s (b) how much time is required for the motorcycle to change its speed from 54 m/s to 63 m/s?

a)t=4.5s

b)t=4.5s

Explanation:

Conceptual analysis

We apply the formula for (a) uniformly accelerated movement

formula (1)

a; acceleration in m/s²

vi:initial speed in m/s

vf:final speed in m/s

Problem development

a)We replace the known data in the formula (1)

a=2m/s², vi=16 m/s  ,vf= 25 m/s?  

b)a=2 m/s², vi=54 m/s  ,vf= 63m / s?  

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.