Q1) A projectile is fired vertically with an initial velocity of 200 m/s. Calculate the maximum altitude h reached by the projectile and the time t after firing for it to return to the ground. Neglect air resistance and take the gravitational acceleration to be constant at 9.8 m/s'. (Ans. h = 2040 m, t = 40.8 s) %3D
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.
![QI) A projectile is fired vertically with an initial velocity of 200 m/s.
Calculate the maximum altitude h reached by the projectile and the
time t after firing for it to return to the ground. Neglect air resistance
and take the gravitational acceleration to be constant at 9.8 m/s'.
(Ans. h = 2040 m, t = 40.8 s)
Q2) A ball is thrown vertically upward with an initial speed of
80 ft/sec from the base A of a 50-ft cliff. Determine the distance h by
which the ball clears the top of the cliff and the time t after release
for the ball to land at B. Also, calculate the impact velocity Neglect
air resistance and the small horizontal motion of the ball.
50
Q3) A train which is traveling at 80 mi/hr applies its brakes as it
reaches point A and slows down with a constant deceleration. Its
decreased velocity is observed to be 60 mi/hr as it passes a point 1/2
mile beyond A. A car moving at 50 mi/hr passes point B at the same
instant that the train reaches point A. In an unwise effort to beat the
train to the crossing, the driver "steps on the gas." Calculate the
constant acceleration a that the car must have in order to beat the
train to the crossing by 4 sec and find the velocity v of the car as it
reaches the crossing.
( Ans. a = 1.168 ft/sec2, v = 99.8 mi/hr)
Train
1 mi
80 mi/hr
B
Car
o mi/hr
1.3 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a4dc286-252b-47d2-99b5-f49b734b75e6%2F5996366c-1470-4b8f-bd42-63bef47b1cec%2F6dgw0wv_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)