Final answer:
The total displacement during the entire motion of the monorail is -35 m. Therefore, the correct answer is c) Negative displacement.
Step-by-step explanation:
To find the total displacement during the entire motion, we need to consider each phase of the monorail's motion separately.
First phase: Acceleration phase
The monorail starts from rest and accelerates at a rate of 2.2 m/s² for 10 s. During this phase, we can find the displacement using the equation:
displacement = (initial velocity * time) + ((1/2) * acceleration * time^2)
Since the initial velocity is 0, the equation simplifies to:
displacement = (1/2) * acceleration * time^2
Substituting the given values, we get:
displacement = (1/2) * 2.2 * (10)^2 = 110 m
Second phase: Constant speed
During this phase, the monorail runs at a constant speed for 74 s. Since speed is constant, the displacement is simply:
displacement = speed * time = (speed of the monorail) * 74
Third phase: Deceleration phase
The monorail slows down at a rate of 1.5 m/s². Using the same equation as in the acceleration phase, we can find the displacement:
displacement = (1/2) * acceleration * time^2
Substituting the given values, we get:
displacement = (1/2) * (-1.5) * (10)^2 = -75 m
Adding up the displacements from each phase, we get a total displacement of 110 m + 0 m + (-75 m) = 35 m.
Therefore, the correct answer is c) Negative displacement.