Final answer:
The drag-racing car's average acceleration from 0 to 300mph in 5 seconds is approximately 2.73 g's, after converting the speed to meters per second and using the formula for average acceleration.
Step-by-step explanation:
To calculate the average acceleration in g's for a drag-racing car that goes from 0 to 300mph in 5 seconds, we need to first convert the speed from miles per hour (mph) to meters per second (m/s). Since 1 mph is approximately 0.44704 m/s, 300 mph equals roughly 134.112 m/s. The formula for average acceleration (a) is given by the change in velocity (Δv) divided by the time (t) it takes for the change to occur, a = Δv / t.
Using the conversion for 300 mph, we have an initial velocity (u) of 0 m/s and a final velocity (v) of 134.112 m/s over a time (t) of 5 seconds. Therefore, the average acceleration is:
a = (134.112 m/s - 0 m/s) / 5 s = 26.8224 m/s²
Earth's gravitational acceleration (g) is 9.81 m/s², so to express the car's acceleration in g's, we divide the car's acceleration by Earth's gravitational acceleration:
a in g's = 26.8224 m/s² / 9.81 m/s² ≈ 2.73 g's
Thus, the drag-racing car's average acceleration is approximately 2.73 g's.