The problem asks us to find the velocity of a cheetah between 5 and 15 seconds, given a distance-time graph. We need to express the answer to 1 decimal place.

Applied MathematicsVelocityDistanceTimeGraph InterpretationPhysics
2025/5/12

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 express the answer to 1 decimal place.

2. Solution Steps

First, we need to find the distance travelled at 5 seconds and 15 seconds.
From the graph:
Distance at 5 seconds is approximately 160 meters.
Distance at 15 seconds is approximately 200 meters.
The change in distance, Δd\Delta d, is:
Δd=200160=40\Delta d = 200 - 160 = 40 meters
The change in time, Δt\Delta t, is:
Δt=155=10\Delta t = 15 - 5 = 10 seconds
The velocity vv is given by:
v=ΔdΔtv = \frac{\Delta d}{\Delta t}
v=4010=4v = \frac{40}{10} = 4 m/s

3. Final Answer

4.0 m/s

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