Motion along a line: A student is moving along a straight corridor toward a lecturer office in order to find out his exam result. His position s (measured in meters) at time t (measured in seconds) is given by the function s(t) = t2 4t.

(a) Find the displacement of the student during the first 5 seconds. (b) What is the average velocity during the first 5 seconds? (c) What is the instantaneous velocity at t = 5. (d) What is the maximum speed during the first 3 seconds and at what time instant it occurs? (e) What is the initial acceleration and what is the acceleration at t = 3?

2. Motion along a line: A student is moving along a straight corridor in order to find out his exam result. His velocity v (measured in meters per second) at time t (measured in seconds) is given by the function v(t) = t2 4t. (a) Find the total distance traveled during the first 5 seconds. (b) How far from the starting point is he at the instant t = 5? (c) Will he reach to the lecturer's office during the first 5 seconds if the office is situated 10 meters to the positive direction from the starting point of movement? (d) 10 meters to the negative direction from the starting point of movement? Justify your answers