Answer:
- 7.088 m/s²
Explanation:
As we know that,
★ Acceleration = Change in velocity/Time
→ a = (v - u)/t
Here,
→ a = (10.9 m/s - 27.7 m/s)/2.37 s
→ a = -16.8/2.37 m/s²
→ a = -7.088 m/s² [Answer]
Negative sign denotes that the velocity is decreasing.
Answer:
[tex]\boxed {\boxed {\sf -7.09 \ m/s^2}}[/tex]
Explanation:
We are asked to find the acceleration of a car. Acceleration is the change in velocity with respect to time. We will use the following formula:
[tex]a= \frac {v_f-v_i}{t}[/tex]
In this formula, [tex]v_f[/tex] is the final velocity, [tex]v_i[/tex] is the initial velocity, and [tex]t[/tex] is the time. The car slows down from 27.7 meters per second to 10.9 meters per second in 2.37 seconds. Therefore:
Substitute the values into the formula.
[tex]a= \frac{ 10.9 m/s-27.7 m/s}{2.37 \ s}[/tex]
Solve the numerator.
[tex]a= \frac{-16.8 \ m/s}{2.37 \ s}[/tex]
Divide.
[tex]a= -7.088607595 \ m/s/s[/tex]
[tex]a= -7.088607595 \ m/s^2[/tex]
The original measurements of velocity and time have 3 significant figures, so our answer must have the same. For the number we found, that is the hundredth place. The 8 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.
[tex]a \approx - 7.09 \ m/s^2[/tex]
The acceleration of the car is approximately -7.09 meters per second squared. The acceleration is negative because the car is slowing down.
