Answer :
Answer:
acceleration = 0.0625 m/s²
Explanation:
We can find the acceleration needed by the car by using the formula of Linear Motion with Constant Acceleration:
[tex]\boxed{v=v_0+at}[/tex]
where:
- [tex]v=\text{final velocity}[/tex]
- [tex]v_0=\text{initial velocity}[/tex]
- [tex]a=\text{acceleration}[/tex]
- [tex]t=\text{time}[/tex]
Given:
- [tex]v_0=10\ m/s[/tex]
- [tex]v=15\ m/s[/tex]
- [tex]t=80\ s[/tex] (I assume there is a typo that 80 m should be 80 s)
Then:
[tex]\begin{aligned}\\v&=v_0+at\\15&=10+a(80)\\80a&=15-10\\a&=5\div80\\a&=\bf0.0625\ m/s^2\end{aligned}[/tex]