Answer:
17.6 m/s²
Explanation:
Given:
[tex]v_{f}[/tex] = 90 m/s (final velocity)
[tex]v_{i}[/tex] = 2 m/s (initial velocity)
Δt = 5s (change in time)
The formula for acceleration is:
[tex]a_{avg}[/tex] = Δv / Δt
We can find Δv by doing
Δv = [tex]v_{f}[/tex] - [tex]v_{i}[/tex]
Replace the values
Δv = 90m/s - 2m/s
Δv= 88m/s
Using the equation from earlier, we can find the acceleration by dividing the average velocity by time.
[tex]a_{avg}[/tex] = Δv / Δt
[tex]a_{avg}[/tex] = [tex]\frac{88m/s}{5/s}[/tex]
acceleration = 17.6 [tex]m/s^{2}[/tex]