# Acceleration

The car accelerates at rate 0.5m/s2. How long travels 400 meters and what will be its speed?

Correct result:

t =  40 s
v =  20 m/s

#### Solution:

$a=0.5 \ \text{m/s}^2 \ \\ s=400 \ \text{m} \ \\ \ \\ s=\dfrac{ 1 }{ 2 } a t^2 \ \\ t=\sqrt{ 2 \cdot \ s/a }=\sqrt{ 2 \cdot \ 400/0.5 }=40 \ \text{s}$
$v=a \cdot \ t=0.5 \cdot \ 40=20 \ \text{m/s}$

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