1. Understand the Concepts

* Constant Acceleration: This means the antelope's velocity is changing at a steady rate.

* Uniformly Accelerated Motion: We can use the standard equations of motion for constant acceleration.

2. Identify the Given Information

* Distance (Δx): 70.0 m

* Time (Δt): 7.00 s

* Initial Velocity (v₀): We don't know this.

* Final Velocity (v): We don't know this.

* Acceleration (a): This is what we need to find.

3. Choose the Right Equation

Since we don't know the initial or final velocity, the best equation to use is:

Δx = v₀Δt + (1/2)a(Δt)²

4. Solve for Acceleration (a)

* Rearrange the equation to isolate 'a':

a = (2(Δx - v₀Δt)) / (Δt)²

* Since we don't know v₀, we can assume the antelope starts from rest (v₀ = 0). This simplifies the equation:

a = (2Δx) / (Δt)²

* Plug in the given values:

a = (2 * 70.0 m) / (7.00 s)²

* Calculate the acceleration:

a ≈ 2.86 m/s²

Answer: The antelope's acceleration is approximately 2.86 m/s².