An electric vehicle starts from rest and accelerates at a rate of 2 m/s2 in a straight line until it reaches a speed of 20 m/s.The vehicle then slows at a constant rate of 1 m/s2 until it stops.  How much time elapses from start to stop? & How far does the vehicle travel from start to stop?

A spaceship starts at rest, and then launches vertically into the air with an upward acceleration of 2.0 m/s2. When it reaches a height of 500 m, it runs out of fuel; after this point its acceleration is due to gravity, i.e. 9.8 m/s2 downward. (ignore air resistance)(a) How long does it take the spaceship to run out of fuel? (b) What is its velocity at the point when it runs out of fuel? (c) What is the maximum height that the spaceship reaches? (d) For how much time (total, from launch) is the rocket in the air? (e) What is the spaceship’s velocity just before it hits the ground?

I need help solving this question. A rocket starting from rest rises vertically and accelerates at a constant rate of 13 m/s2 for 7 min. At this point the engine of the rocket accidently fails and completely shuts down. (Neglect air resistance and any variation in the acceleration due to gravity) a) What is the speed of the rocket when the engine shuts down? b) How high is the rocket above the ground at the point where the engine shuts down? c) How much higher will the rocket rise after the engine fails? d) What is the total time of the rocket in air? e) What is the average speed of the rocket for the entire trip?

A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.55 m/s2 for 10.0 s. 2. Maintain a constant velocity for the next 1.00 min. 3. Apply a constant negative acceleration of −9.03 m/s2 for 2.82 s. (a) What was the total displacement for the trip? (b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip?