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

6.32s

Step-by-step 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 +
`(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 =
`(1)/(2)` at²

200 =
`(1)/(2)` x 10 x t²

200 = 5t²

t² = 40

t = 6.32s