Understanding the Concepts
* Uniform Acceleration: This means the car's speed increases at a constant rate.
* Distance, Acceleration, and Time: We can use the following kinematic equation to relate these quantities:
* d = v₀t + (1/2)at²
* d = distance
* v₀ = initial velocity (0 m/s in this case since the car starts at rest)
* t = time
* a = acceleration
Solving the Problem
1. Set up the equation:
* 120 m = (0 m/s)(6.32 s) + (1/2)a(6.32 s)²
2. Simplify:
* 120 m = (1/2)a(39.9424 s²)
3. Solve for acceleration (a):
* a = (120 m * 2) / 39.9424 s²
* a ≈ 6.01 m/s²
Answer: The approximate acceleration of the car is 6.01 m/s².