Understanding the Concepts

* Acceleration: The rate of change of velocity over time.

* Initial velocity (u): The velocity of the body at the start (0 m/s since it starts from rest).

* Final velocity (v): The velocity of the body at the end of the journey (unknown).

* Displacement (s): The total distance traveled (87.5 m).

* Time (t): The duration of the motion (5 seconds).

Formula

We can use the following equation of motion to solve for acceleration (a):

s = ut + (1/2)at²

Calculations

1. Substitute the known values:

87.5 = (0)(5) + (1/2)a(5)²

2. Simplify the equation:

87.5 = (1/2)a(25)

87.5 = 12.5a

3. Solve for acceleration (a):

a = 87.5 / 12.5

a = 7 m/s²

Answer

The acceleration of the body is 7 m/s².