1)The
position of an object moving along an x axis is
given by x = 3.27 t -
4.40 t2 +
1.06 t3, where x is in
meters and t in seconds. Find the position of
the object at the following values of t: (a) 1 s, (b)
2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement
between t = 0 and t = 4 s?
(f) What is its average velocity from t = 2 s
to t = 4 s?
2) At a certain time a particle had a
speed of 38 m/s in the positive x direction, and 2.4 s later its
speed was 25 m/s in the opposite direction. What was the average
acceleration of the particle during this 2.4 s interval?
3) An electric vehicle starts from rest
and accelerates at a rate of 1.9 m/s2 in a straight
line until it reaches a speed of 23 m/s. The vehicle then slows at
a constant rate of 1.2 m/s2 until it
stops. (a) How much time elapses from
start to stop? (b) How far does the
vehicle move from start to stop?