Answer :

Answer:

acceleration = [tex]\displaystyle\bf \frac{2}{3} \ m/s^2[/tex]

Explanation:

We can calculate the acceleration by using the linear motion with constant acceleration formulas:

[tex]\boxed{v=v_o+at}[/tex]

where:

  • [tex]v[/tex] = final velocity
  • [tex]v_o[/tex] = initial velocity
  • [tex]t[/tex] = time
  • [tex]a[/tex] = acceleration

Given:

  • [tex]v_o[/tex] = 72 km/h

            = (72 × 1000 ÷ 3600) m/s

            = 20 m/s

  • [tex]v[/tex] = 40 m/s
  • [tex]t[/tex] = 0.5 minutes

          = (0.5 × 60) seconds

          = 30 s

[tex]v=v_o+at[/tex]

[tex]40=20+a(30)[/tex]

[tex]30a=40-20[/tex]

[tex]\displaystyle a=\frac{20}{30}[/tex]

[tex]\displaystyle\bf a=\frac{2}{3} \ m/s^2[/tex]