1. A car advertisement states that a certain car accelerates from rest at 80 km/h in 8 seconds. What is the average acceleration of the car?
2. Nathan covers the last stretch of a race in 4 seconds. During that time, he speeds up from 6 m/s to 10 m/s. What is Nathan's average acceleration?
2. Nathan covers the last stretch of a race in 4 seconds. During that time, he speeds up from 6 m/s to 10 m/s. What is Nathan's average acceleration?
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Answer:
To find the average acceleration of the car, we can use the formula:
average acceleration = change in velocity / time taken
The change in velocity can be calculated by converting the initial velocity (rest) and final velocity (80 km/h) to meters per second and subtracting the two values:
change in velocity = (80 km/h - 0 km/h) / 3.6 = 22.22 m/s
The time taken is given as 8 seconds.
Therefore, the average acceleration of the car is:
average acceleration = 22.22 m/s / 8 s = 2.78 m/s^2
Answer: 2.78 m/s^2
To find the average acceleration of Nathan, we can use the formula:
average acceleration = change in velocity / time taken
The change in velocity can be calculated by subtracting the initial velocity (6 m/s) from the final velocity (10 m/s):
change in velocity = 10 m/s - 6 m/s = 4 m/s
The time taken is given as 4 seconds.
Therefore, the average acceleration of Nathan is:
average acceleration = 4 m/s / 4 s = 1 m/s^2
Answer: 1 m/s^2