Final answer:
To find the time it takes to increase speed from 12 m/s to 36 m/s with an average acceleration of 1.5 m/s², we can use the formula ∆t = ∆v/a, where ∆v is the change in velocity, a is the acceleration, and ∆t is the time interval. Substituting the values, we find that it takes 16 seconds.
Step-by-step explanation:
To find the time it takes to increase speed from 12 m/s to 36 m/s with an average acceleration of 1.5 m/s², we can use the equation:
∆v = a∆t
where ∆v is the change in velocity, a is the acceleration, and ∆t is the time interval. Rearranging the equation, we have:
∆t = ∆v/a
Substituting the values into the equation:
∆t = (36 m/s - 12 m/s) / 1.5 m/s² = 16 seconds
Therefore, the correct answer is 16 s.