Question

In: Physics

Sprinter Usain Bolt reached a maximum speed of 11.2 m/s in 2.0s while running 100-m dash....

Sprinter Usain Bolt reached a maximum speed of 11.2 m/s in 2.0s while running 100-m dash. A) what was his acceleration? B) What distance did he travel during his first 2.0s of the race? C) What assumptions did you make? D) What time interval was needed to complete the race assuming that he ran the last part of the race at his maximum speed? E) what is the total time of the race? How certain are you of the number you calculated?

*****Show all work*******

Solutions

Expert Solution

A) what was his acceleration?

It used the following equation

where:
initial velocity. Party from resposo
final speed
time
evaluated numerically

B) What distance did he travel during his first 2.0s of the race?

It is used the following equation


where
the starting position. the origin
initial velocity
acceleration
time

evaluated numerically

C) What assumptions did you make?

in that the acceleration section is uniform, that is, the motion is uniformly accelerated

D) What time interval was needed to complete the race assuming that he ran the last part of the race at his maximum speed?

remains to be covered

as it reaches the maximum speed can be assumed uniform rectilinear motion that is

It takes to travel the rest

E) what is the total time of the race?

the total time is given by

How certain are you of the number you calculated?

I still am pretty sure Usain Bolt is the fastest sprinter in the world today, and 100m world record is 9.58, so the answer is quite feasible


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