Question

How long does it take the principal to run to our classroom, if the distance is 125 meters, and he accelerates,
from rest, at a rate of 4 m/s^2?
answer

Answer 1

The kinematics to find the time to go from the office to the living room is: 2.81 s

Given Parameters

• The distance x = 125 n

• The acceleration a = 4 m / s²

To find

• The time

Kinematics allows us to find the relationships between the position, velocity and acceleration of bodies, let's use the relationship  

             x = v₀ t + ½ a t²

Where x is the position, v₀ the initial velocity, at acceleration and t the time

In this case, as he leaves the office, the initial velocity is zero.

           x = ½ a t²

            t = $\sqrt{\frac{2x}{a} }$

Let's calculate

           t = $\sqrt{\frac{2 \ 125}{4} }$

          t = 2.81 s

In conclusion, using the kinematics, we find that the time to go from the office to the classroom is: 2.81 s

Learn more about kinematics here:

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