1. Convert Units

* Speed: Convert 90 km/h to m/s:

* 90 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 25 m/s

2. Identify Knowns

* Initial velocity (v₀) = 25 m/s

* Final velocity (v) = 0 m/s (the car comes to a stop)

* Distance (Δx) = 50 m

3. Use the Appropriate Kinematic Equation

We can use the following kinematic equation to find the acceleration:

v² = v₀² + 2aΔx

4. Solve for Acceleration (a)

* Rearrange the equation:

a = (v² - v₀²) / (2Δx)

* Substitute the values:

a = (0² - 25²) / (2 * 50)

a = -625 / 100

a = -6.25 m/s²

Answer

The acceleration of the sports car is -6.25 m/s². The negative sign indicates that the acceleration is in the opposite direction to the car's motion (deceleration or braking).