Evaluation: A. Explain free falling body B. Solve the following problems neatly: 1. A stone is thrown vertically upward from the ground with a velocity of 15 m/sec. One second later, another stone is thrown vertically upward with a velocity of 30 m/sec. a. When will the stones be at the same level? Ans. t = 1.4 sec b. How far above the ground will the stones be at the same level? Ans S =11.4 m c. Determine the time the second stone travelled until the stones are at the same level? Ans. t2 = 0.4 sec
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![Evaluation:
A. Explain free falling body
B. Solve the following problems neatly:
1. A stone is thrown vertically upward from the ground with a velocity of 15
m/sec. One second later, another stone is thrown vertically upward with a
velocity of 30 m/sec.
a. When will the stones be at the same level? Ans. t = 1.4 sec
b. How far above the ground will the stones be at the same level? Ans S
=11.4 m
c. Determine the time the second stone travelled until the stones are at
the same level? Ans. t2 = 0.4 sec
2. A stone is dropped from a balloon at an elevation of 300 m. Two
seconds later, another stone is projected vertically upward from the
ground with a velocity of 75 m/sec.
a. When will the stones pass each other? Ans. t = 4.963 sec
b. Where will the stones pass each other from the ground? Ans. S =
179.2 m
c. Compute the time travelled by the stone from the ground until they
pass each other. Ans. t2 = 2.96 sec
3. A stone is thrown vertically into the air at a velocity of 60 m/sec. After 4
seconds, another stone is thrown vertically into the air.
a. Determine the time that the first ball has travelled in order to meet the
second ball 120 m from the ground. Ans. t1 = 6.1 sec
b. Determine the time that the second ball has travelled in order to meet
t2 = 3.6 sec
the first ball 120 m from the ground. Ans. t3 = 5.7 sec
c. What initial velocity must the second ball have in order to meet the first
ball 120 m from the ground? Ans. V3 = 49 m/sec
4. A stone is thrown vertically upward with an initial velocity of 3 m/sec
from the top of a tall building. The stone strikes the ground 4 second later.
a. What is the maximum height reached by the stone above the building?
Ans. S = 0.459 m
b. What is the height of the building? Ans. H = 66.331 m
c. What is the velocity of the stone as it strikes the ground? Ans. V =
36.20 m/sec
5. A ball is thrown vertically up from the ground with a velocity of 90
m/sec. How long must one wait before dropping a second ball from the top
of a tower 180 m high if the two balls are to pass each other 60m from the
top of the tower?
Ans. t1 = 16.90 sec, t2 = 3.5 sec, t3 = 13.4 sec
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