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An object starts at 4m/s and accelerates to 6m/s in 10 seconds. Find its displacement.
(the answer is 50 m but I don't know how to solve the question)

Respuesta :

Answer:

Explanation:

The 2 equations we need here are, first:

[tex]a=\frac{v_f-v_0}{t}[/tex] and then once we solve for the acceleration here:

[tex]v^2=v_0^2+2a[/tex]Δx

Solving for acceleration:

[tex]a=\frac{6-4}{10}=\frac{1}{5}\frac{m}{s^2}[/tex] and now we will use that in the other equation:

[tex]6^2=4^2+2(\frac{1}{5})[/tex]Δx and

36 = 16 + [tex]\frac{2}{5}[/tex]Δx and

20 = [tex]\frac{2}{5}[/tex]Δx and

[tex]\frac{5}{2}(20)=[/tex] Δx so

Δx = 50 m