PROBLEM 11.82 (Continued)
PROBLEM 11.83
A training airplane has a velocity of 126 ft/s when
it lands on an aircraft carrier. As the arresting gear
of the carrier brings the airplane to rest, the
velocity and the acceleration of the airplane are
recorded; the results are shown (solid curve) in the
figure. Determine by approximate means (a) the
time required for the airplane to come to rest,
(b) the distance traveled in that time.
PROBLEM 11.84
Shown in the figure is a portion of the experimentally
determined
vx
curve for a shuttle cart. Determine by
approximate means the acceleration of the cart (a) when
10 in.,x
(b) when
80 in./s.v
PROBLEM 11.85
An elevator starts from rest and rises 40 m to its maximum
velocity in T s with the acceleration record shown in the figure.
Determine (a) the required time T, (b) the maximum velocity,
(c) the velocity and position of the elevator at t = T/2.
PROBLEM 11.85 (Continued)
0134
PROBLEM 11.86
Two road rally checkpoints A and B are located
on the same highway and are 8 mi apart. The
speed limits for the first 5 mi and the last 3 mi
are 60 mi/h and 35 mi/h, respectively. Drivers
must stop at each checkpoint, and the specified
time between points A and B is 10 min 20 s.
Knowing that a driver accelerates and
decelerates at the same constant rate, determine
the magnitude of her acceleration if she travels
at the speed limit as much as possible.
2
3600
PROBLEM 11.87
As shown in the figure, from
0t
to 4 s,t the acceleration of
a given particle is represented by a parabola. Knowing that x 0
and
8 m/sv
when 0,t
(a) construct the
vt
and x–t curves
for 0
t
4 s, (b) determine the position of the particle at t 3 s.
(Hint: Use table inside the front cover.)
PROBLEM 11.88
A particle moves in a straight line with the acceleration
shown in the figure. Knowing that the particle starts from
the origin with 02v
m/s, (a) construct the vt and
x
t
curves for 018t
s, (b) determine the position
and the velocity of the particle and the total distance
traveled when 18t
s.
PROBLEM 11.89
A ball is thrown so that the motion is defined by
the equations 5
x
t
and 2
26 4.9,ytt where
x and y are expressed in meters and t is expressed
in seconds. Determine (a) the velocity at t1s,
(b) the horizontal distance the ball travels before
hitting the ground.
PROBLEM 11.90
The motion of a vibrating particle is defined by the position vector
32
10(1 ) (4 sin15 ) ,
tt
eet
ri
j
where
r
and t are expressed in
millimeters and seconds, respectively. Determine the velocity and
acceleration when (a)
0,t
(b)
0.5 s.t