# Acceleration

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

Result

t =  40 s
v =  20 m/s

#### Solution:

$a = 0.5 \ m/s^2 \ \\ s = 400 \ m \ \\ \ \\ s = \dfrac{ 1 }{ 2 } a t^2 \ \\ t = \sqrt{ 2 \cdot \ s/a } = \sqrt{ 2 \cdot \ 400/0.5 } = 40 = 40 \ \text{ s }$
$v = a \cdot \ t = 0.5 \cdot \ 40 = 20 = 20 \ \text{ m/s }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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