Show STEP BY STEP solution and box your final answer. Non- compliance with the direction will result to a wrong answer. 1. The observation deck of tall skyscraper is 500 ft above the street. Determine the time required for a penny to free fall from the deck to the street below. An object is launched at a velocity of 15 m/s in a direction making an angle of 30" upward with the horizontal. 2. What is the maximum height reached by the object? 3. What is the total flight time (between launch and touching the ground) of the object? 4. What is the horizontal range (maximum x above ground) of the object? 5. What is the magnitude of the velocity of the object just before it hits the ground? 6. The position of an electron is given by r 5ti-4tj+3k (where t is in seconds and the coefficients have the proper units for r to be in meters). (a) What is v(t) for the electron? (b) In unit-vector notation, what is v att = 2.0 s? (c) What are the magnitude and direction of v just then? 7. A particle moves so that its position as a funetion of time in Sl units is r = 4ti + tj + 2k. Write expressions for (a) its velocity and (b) its acceleration as functions of time. 8. You throw a ball with a speed of 25.0 m/s at an angle of 40 above the horizontal directly toward a wall. The wall is 22.0m from the release point of the ball. (a) How long does the ball take to reach the wall? (b) How far above the release point does the ball hit the wall? (c) What are the horizontal and vertical components of its velocity as it hits the wall?
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.
![Show STEP BY STEP solution and box your final answer. Non-
compliance with the direction will result to a wrong answer.
1. The observation deck of tall skyscraper is 500 ft above the street. Determine the
time required for a penny to free fall from the deck to the street below.
An object is launched at a velocity of 15 m/s in a direction making an angle of 30° upward
with the horizontal.
2. What is the maximum height reached by the object?
3. What is the total flight time (between launch and touching the ground) of the
object?
4. What is the horizontal range (maximum x above ground) of the object?
5. What is the magnitude of the velocity of the object just before it hits the ground?
6. The position of an electron is given byr 5ti-4tj +3k (where t is in
seconds and the coefficients have the proper units for r to be in meters). (a)
What is v(t) for the electron? (b) In unit-vector notation, what is v at t = 2.0 s?
(c) What are the magnitude and direction of v just then?
7. A particle moves so that its position as a function of time in Sl units is
r = 4ti + tj + 2k. Write expressions for (a) its velocity and (b) its acceleration
as functions of time.
8. You throw a ball with a speed of 25.0 m/s at an angle of 40° above the horizontal
directly toward a wall. The wall is 22.0m from the release point of the ball.
(a) How long does the ball take to reach the wall?
(b) How far above the release point does the ball hit the wall?
(c) What are the horizontal and vertical components of its velocity as it hits the
wall?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6722aab-44c2-4317-8465-3098c221dbad%2Faa0ace7f-65f2-4a08-80a2-f7e44d4bac05%2Fkd41sw8_processed.jpeg&w=3840&q=75)
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