Final answer:
To find the person's speed after accelerating for 3 m, use the equation vf = vi + at. Plug in the given values to calculate the final velocity.
Step-by-step explanation:
To find the person's speed after accelerating, we can use the equation:
vf = vi + at
Where:
- vf is the final velocity
- vi is the initial velocity
- a is the acceleration
- t is the time
In this case, the person's initial velocity is 0.5 m/s, the acceleration is 1.2 m/s², and the time is 3 s (since 3 m divided by 0.5 m/s is 3 s).
Plugging these values into the equation, we get:
vf = 0.5 + (1.2)(3)
vf = 0.5 + 3.6
vf = 4.1 m/s
Therefore, the person's speed after accelerating for 3 m is 4.1 m/s.