An airplane increases its speed from 100 m/s to 160 m/s, at the average rate of 15 m/s2. How much time does it take for the complete increase in speed? 00577s O 40s O 0.25s O 17.3s

4.0 s

Explanation:

Given data

Initial speed (V₀) : 100 m/s

Final speed (vf) : 160 m/s

Acceleration (a) : 15 m/s²

Time (t) : ?

In an uniformly accelerated motion, the acceleration is equal to the change in the speed divided by the time elapsed.

a = Δv/t

t = Δv/a = (vf - V₀) / a = (160 m/s - 100 m/s) / (15m/s²) = 4.0 s

Answer: 4 s

Explanation: In order to solve this problem we have to use tge following kinematic expression:

vf=vo+a*t; where vf and vo are the final and initial speed. a is the average acceleration and t, the time.

then we have:

t = (160-100) m/s / (15 m/s^2) = 4 s