Consider the motion of a sprinter running a 100-m dash. When it is run outdoors,

Question

Consider the motion of a sprinter running a 100-m dash. When it is run outdoors, this race is run along a straight-line portion of a track, so it is an example of motion in one dimension. Draw qualitative plots of the position, velocity, and acceleration as functions of time for the sprinter. Start your plots just before the race starts and end them when the runner comes to a complete stop. (Assume that the sprinter accelerates before the line.)
Position as a function of time:

a

Acceleration as a function of time:

Explanation / Answer

initial speed =0

acceleration=a

then position at any time t=0.5*a*t^2

so it is a parabolic function about vertical axis.

so option a is correct.

part b:

normally during sprinting, accelertion does not remain constant .

it will rise and the runner will come to a steady speed and then after finishing line

there will be deceleration and the runner will come to a stop

so option b is the correct plot.

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