A car slows down uniformly from a speed of 26.0 m/s to rest in 8.60 s .
To solve this problem, we need to find the car´s acceleration. We can use the following equation:
v = u + at
Where:
- v is the final velocity (0 m/s, as the car comes to rest)
- u is the initial velocity (26.0 m/s)
- a is the acceleration
- t is the time interval (8.60 s)
Since the car slows down, the acceleration will be negative. Let's rearrange the equation to solve for acceleration:
a = (v - u) / t
Plugging in the values we have:
a = (0 - 26.0) m/s / 8.60 s
a = -26.0 m/s / 8.60 s
Calculating this:
a ≈ -3.02 m/s²
Therefore, the car's acceleration is approximately -3.02 m/s².