Final answer:
To calculate the acceleration of a car increasing its speed uniformly from rest to 50.0 m/s in 2.0 seconds, you use the formula for acceleration a = Δv / Δt. The resulting acceleration is 25.0 m/s².
Step-by-step explanation:
The question involves calculating acceleration for a car increasing speed uniformly from rest, specifically requiring us to find out the acceleration when it reaches 50.0 m/s in 2.0 seconds. In physics, acceleration is defined as the rate of change of velocity per unit of time. To calculate the uniform acceleration (a), we use the formula:
a = Δv / Δt
Where:
- Δv is the change in velocity (final velocity - initial velocity)
- Δt is the change in time
Since the car starts from rest, the initial velocity (vi) is 0 m/s and the final velocity (vf) is given as 50.0 m/s. The time (t) is 2.0 seconds. Plugging these into the formula gives:
a = (50.0 m/s - 0 m/s) / 2.0 s = 25.0 m/s²
Therefore, the acceleration of the car is 25.0 m/s².