Final answer:
To find the acceleration of a car that accelerates from one speed to another, convert speeds to meters per second, calculate the change in velocity, and divide by the time taken.
Step-by-step explanation:
To calculate the acceleration of a car that accelerates from 25 mi/hr to 55 mi/hr in 0.0083 hr, we need to follow these steps:
- First, convert the speeds from miles per hour to meters per second. (Note: 1 mi/hr ≈ 0.44704 m/s)
- Calculate the change in velocity (Δv) in meters per second.
- Use the formula for acceleration, which is a = Δv / Δt, where Δv is change in velocity and Δt is change in time.
For example, when a car uniformly accelerates from a velocity of 2 m/s to 10 m/s in 8 seconds, the acceleration (a) can be calculated as follows:
a = (final velocity - initial velocity) / time
a = (10 m/s - 2 m/s) / 8 s = 8 m/s / 8 s = 1 m/s²
Therefore, the acceleration during the first 8 seconds is 1 m/s².