Question

How far does a train travel in the sixth second if it starts from rest with a uniform acceleration of 4.0 m/s2?

Answer 1

To determine the distance traveled by a train in the sixth second, we need to use the equations of motion. In this case, we have an object starting from rest ($v_0=0$) with a uniform acceleration ($a=4.0{\text{m/s}}^2$).

The equation that relates distance ($d$), initial velocity ($v_0$), acceleration ($a$), and time ($t$) is:

$d=v_0\cdot t+\frac{1}{2}\cdot a\cdot t^2$

Plugging in the values:

$v_0=0\text{m/s}$ $a=4.0{\text{m/s}}^2$ t<mo