Understanding the Concepts

* Acceleration due to gravity (g): 9.8 m/s² means that the velocity of a falling object increases by 9.8 meters per second every second.

* Initial velocity (v₀): We assume the object starts from rest, so v₀ = 0 m/s.

* Final velocity (v): We want the object to reach a speed of 49 m/s.

Using the Equation of Motion

We can use the following equation of motion:

v = v₀ + at

where:

* v = final velocity (49 m/s)

* v₀ = initial velocity (0 m/s)

* a = acceleration due to gravity (9.8 m/s²)

* t = time (what we want to find)

Solving for Time (t)

1. Plug in the values: 49 m/s = 0 m/s + (9.8 m/s²) * t

2. Simplify: 49 m/s = (9.8 m/s²) * t

3. Solve for t: t = 49 m/s / 9.8 m/s² = 5 seconds

Answer: It will take 5 seconds for the object to reach a speed of 49 m/s.