The problem asks us to find the velocity of a cheetah between 5 and 15 seconds, given a distance-time graph. We need to calculate the velocity in meters per second (m/s) and round the answer to one decimal place.

Applied MathematicsVelocityDistance-Time GraphKinematicsCalculus Concepts
2025/4/22

1. Problem Description

The problem asks us to find the velocity of a cheetah between 5 and 15 seconds, given a distance-time graph. We need to calculate the velocity in meters per second (m/s) and round the answer to one decimal place.

2. Solution Steps

First, we read the distance traveled at 5 seconds and 15 seconds from the graph.
At 5 seconds, the distance traveled is approximately 170 meters.
At 15 seconds, the distance traveled is approximately 210 meters.
The change in distance is 210170=40210 - 170 = 40 meters.
The change in time is 155=1015 - 5 = 10 seconds.
The velocity is calculated as the change in distance divided by the change in time.
Velocity=Change in DistanceChange in TimeVelocity = \frac{Change\ in\ Distance}{Change\ in\ Time}
Velocity=40 meters10 secondsVelocity = \frac{40\ meters}{10\ seconds}
Velocity=4 m/sVelocity = 4\ m/s

3. Final Answer

4.0 m/s

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