Answer:
The vehicle takes 32.75 s from start to finish.
Step-by-step explanation:
The vehicle trajectory has two stages, we gonna solve them separatly.
The first one where it is accelerating from 0 to 25 m/s, since the rate is constant at 2.1 m/s^2 we can find how much time it takes from this vehicle to reach it's final velocity. This is obtained by the following equation:
t = (V_final - V_initial)/rate
t = (25 - 0)/2.1 = 11.91 s
The second one the vehicle is deaccelerating from 25 m/s to 0, since the rate is constant at 1.2 m/s^2 we can use the same equation, but now the rate is negative. So we have:
t = (V_final - V_initial)/rate
t = (0 - 25)/(-1.2) = 20.84 s
The total time it takes for it perform the whole trajectory is the sum of the time it takes to perform each part. So we have total time = 11.91 + 20.84 = 32.75 s.