Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
A particle moves along a horizontal path with a velocity of v = (3t2 6t) mis, where t is the time in seconds. If it is initially located at the origin 0, determine the distance traveled in 3.5 s, and the particle's average velocity and average speed duri
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
The vs graph describing the motion of a motorcycle is shown in Fig. 1215a. Construct the as graph of the motion and determine the time needed for the motorcycle to reach the position s = 400 ft. SOLUTION as Graph. Since the equations for segments of t
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60 m/s.
Due to the drag resistance of the fluid the projectile experiences a deceleration of a = (0.4v3) m/s2,
where v is in m/s. Determine the projectile's
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
At any instant the horizontal position of the weather balloon in Fig. 121Sa is defined by x = (St) ft, where t is in seconds. If the equation of the path is y = x2/10, determine the magnitude and direction of the velocity and the acceleration when t = 2
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
The car in Fig. 122 moves in a straight line such that for a short time its velocity is defined by
v = (3P + 2t) ft/s, where t is in seconds. Determine its position and acceleration when t = 3 s. When t = 0, s = o.
Fig. 122
SOLUTION Coordinate System
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
For a short time, the path of the plane in Fig. 1219a is described by y = (0.00lx2) m. If the plane is rising with a constant velocity of 10 mjs, determine the magnitudes of the velocity and acceleration of the plane when it is at y = 100 m.
SOLUTION Wh
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
A bicycle moves along a straight road such that its posItIon is described by the graph shown in Fig. 1213a. Construct the vt and at graphs for 0 :; t :; 30 s. s (ft)
500 f
100
. =1'0 3' 0t (s) (a) SOLUTION vt Graph. Since v = dsldt, the vt g
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
A metallic particle is subjected to the influence of a magnetic field as it travels downward through a fluid that extends from plate A to plate B, Fig. 125. If the particle is released from rest at the midpoint C, s = 100 mm, and the acceleration is a =
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
During a test a rocket travels upward at 75 mis, and when it is 40 m from the ground its engine fails.
Determine the maximum height SB reached by the rocket and its speed just before it hits the ground.
While in motion the rocket is subjected to a const
Karachi Institute of Economics & Technology, Karachi (Main Campus)
Engineering Mechanics
CEO 8

Fall 2016
The car in Fig. 1214a starts from rest and travels along a straight track such that it accelerates at 10 m/s2 for 10 s, and then decelerates at 2 m/s2. Draw the vt and st graphs and determine the time t' needed to stop the car. How far has the car trav