The problem asks for the velocity of a cheetah between 5 seconds and 15 seconds, given a distance-time graph. The answer should be given to 1 decimal place.

Applied MathematicsVelocityDistance-Time GraphPhysicsCalculations
2025/4/22

1. Problem Description

The problem asks for the velocity of a cheetah between 5 seconds and 15 seconds, given a distance-time graph. The answer should be given to 1 decimal place.

2. Solution Steps

First, we need to find the distance traveled at 5 seconds and 15 seconds from the graph.
At 5 seconds, the distance traveled is approximately 175 m.
At 15 seconds, the distance traveled is approximately 200 m.
The change in distance, Δd\Delta d, is 200175=25200 - 175 = 25 m.
The change in time, Δt\Delta t, is 155=1015 - 5 = 10 s.
The formula for velocity is:
v=ΔdΔtv = \frac{\Delta d}{\Delta t}
Substituting the values:
v=2510=2.5v = \frac{25}{10} = 2.5 m/s.

3. Final Answer

The velocity of the cheetah between 5 and 15 seconds is 2.5 m/s.

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