Question

Superman does an exhibition run at a track meet. When he runs the 200 m
dash, he accelerates at 10 m/s/s for the entire distance. Approximately
how much time will it take him to run the 200 m? *

Answer 1

Answer:

6.32s

Explanation:

Given parameters:

Length of track and distance covered  = 200m

Acceleration  = 10m/s²

Unknown:

Time taken to cover the track  = ?

Solution:

To solve this problem, we apply one of the motion equations as shown below:

       S  = ut + $\frac{1}{2}$ at²  

S is the distance covered

t is the time taken

a the acceleration

u is the initial velocity

The initial velocity of Superman is 0;

 So;

     S  =  $\frac{1}{2}$ at²  

        200  =  $\frac{1}{2}$ x 10 x t²  

          200  = 5t²  

            t²  = 40

            t  = 6.32s