Question

If a runner increases his speed to 9 m/s by accelerating at 0.8 m/s² for 10 s, what was his initial velocity?

Answer 1

The runner's initial velocity was 1 m/s.

Step-by-step explanation:

To find the initial velocity of the runner, we can use the equation:

Final velocity = Initial velocity + (Acceleration x Time)

Given:

Final velocity = 9 m/s

Acceleration = 0.8 m/s²

Time = 10 s

Plugging in the values, we can solve for the Initial velocity:

9 m/s = Initial velocity + (0.8 m/s² x 10 s)

Simplifying the equation gives:
Initial velocity = 9 m/s - (0.8 m/s² x 10 s)

Initial velocity = 9 m/s - 8 m/s

Initial velocity = 1 m/s

Therefore, the runner's initial velocity was 1 m/s.