Motion Equations for Constant Acceleration in One Dimension (Problem 23)

(a) A light-rail commuter train accelerates at a rate of $1.{\text{35 m/s}}^2$. How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of $1.{\text{65 m/s}}^2$. How long does it take to come to a stop from its top speed? (c) In emergencies the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency deceleration in ${\text{m/s}}^2$? Select the answer to part (a).