Question

Maggie runs 15 m/s and then accelerates in a straight line at a rate of 2.0 m/s² for a distance of 20 m. What is her final velocity?

Answer 1

To find Maggie's final velocity, you can use the following kinematic equation:

v^2 = u^2 + 2as

Where:

- v is the final velocity.

- u is the initial velocity (15 m/s).

- a is the acceleration (2.0 m/s²).

- s is the distance (20 m).

Let's plug in the values:

v^2 = (15 m/s)^2 + 2 * 2.0 m/s² * 20 m

v^2 = 225 m²/s² + 40 m²/s²

v^2 = 265 m²/s²

Now, take the square root of both sides to find v:

v = √(265 m²/s²)

v ≈ 16.28 m/s

So, Maggie's final velocity is approximately 16.28 m/s.