Understanding the Concepts
* Uniform acceleration: This means the acceleration is constant over time.
* Initial velocity (v₀): The velocity the car starts with (32 m/s).
* Final velocity (v): The velocity the car reaches after 8 seconds (96 m/s).
* Time (t): The duration of the acceleration (8.0 seconds).
Formula
The formula for uniform acceleration is:
* a = (v - v₀) / t
where:
* a = acceleration
* v = final velocity
* v₀ = initial velocity
* t = time
Calculation
1. Plug in the values:
a = (96 m/s - 32 m/s) / 8.0 s
2. Simplify:
a = 64 m/s / 8.0 s
3. Calculate:
a = 8 m/s²
Answer: The uniform acceleration is 8 m/s².