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]