Answer:
3 m/s²
Step-by-step explanation:
"It took 1 s more to accelerate from a velocity of 1 m/s to a velocity of 5 m/s than it took to accelerate from rest to a velocity of 1 m/s. Find the acceleration."
Acceleration is equal to change in velocity over change in time. The acceleration is constant, so we can write a proportion:
(1 m/s − 0 m/s) / t = (5 m/s − 1 m/s) / (t + 1 s)
1 / t = 4 / (t + 1)
4t = t + 1
3t = 1
t = ⅓
The acceleration is therefore:
a = Δv / Δt
a = (1 m/s − 0 m/s) / (⅓ s)
a = 3 m/s²
