An Olympic-class sprinter starts a race with an acceleration of 4.50 m/s2.
(a) What is her speed 2.40 s later?
(b) Sketch a graph of her position vs. time for this period.
We are given
The unknown is vf. The formula in solving for vf is
Substituting the given values,
The relationship between position and time can be calculated using the formula
Then, with the given, we can express position in terms of time
The values of the position given the time is tabulated below
|Time (s)||Position (m)|
The values are plotted in the coordinate axes