Question

During the same Olympics, Bolt also set the world record in the 200-m dash with a time of 19.30 s. Using the same assumptions as for the 100-m dash, what was his maximum speed for this race

Answer 1

The maximum speed of Bolt for the 100 m race is 14.66 m/s

Step-by-step explanation:

Given;

initial distance covered by Bolt, d = 200 m

time of this motion, t = 19.3 s

The second distance covered by Bolt, = 100 m

Assuming Bolt maintained the same acceleration for both races.

His acceleration can be determined from the 200 m race.

d = ut + ¹/₂at²

where;

u is his initial velocity = 0

d = ¹/₂at²

`at^2 = 2d\\\\a = (2d)/(t^2) \\\\a = (2* 200)/(19.3^2) \\\\a = 1.074 \ m/s^2`

Let the final or maximum velocity for the 100 m race = v

v² = u² + 2ad₂

v² = 2 x 1.074 x 100

v² = 214.8

v = √214.8

v = 14.66 m/s

The maximum speed of Bolt for the 100 m race is 14.66 m/s