1. A rock is thrown off a cliff at an angle of 56° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 26 m/s. (a) Fill in the following: Enter to 2 significant figures Vo 26 Vox 15 = Voy = 21.6 m S m S m S (b) v remains the same durin (c) vy changes during the mot (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for V₁, Vox, Voy V, V, Vy, ax, ay. Label on your diagram the initial and final positions of the rock xo, Yo, and Xfr Yf. (e) How high above the edge of the cliff does the rock rise? Enter to 2 significant figures Ay= 2.2 (f) How far has it moved horizontally when it is at maximum altitude? m
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.
Throwing a Rock Off a Cliff at an Angle
![(f) How far has it moved horizontally when it is at maximum altitude?
Enter to 2 significant figures
Ax=
(g) How long after the release does it hit the ground?
Enter to 2 significant figures
m
Ax total
ground
(h) What is the range of the rock?
Enter to 2 significant figures
S
=
✔m
(i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4.3 s.
Assume that the origin (0,0) for this part is loacted at the edge of the cliff. Enter the positions with
their correct signs.
Enter to 2 significant figures
Position: (x=
✔y=
') m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3eb3c55-3996-4e07-93a0-a3410210cd33%2F15a08a5e-14ea-46d6-a041-0df9989a60f1%2F4z7kshk_processed.png&w=3840&q=75)
![1. A rock is thrown off a cliff at an angle of 56° with respect to the horizontal. The cliff is 100 m high. The
initial speed of the rock is 26 m/s.
(a) Fill in the following:
Enter to 2 significant figures
Vo= 26
Vox = 15
Voy
=
21.6
✓
m
S
m
S
ES
m
(b) vx remains the same durin
(c) vy changes during the mot
(d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical
axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the
horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox, Voy
V, V, Vy, axı ay. Label on your diagram the initial and final positions of the rock X, Yo, and X₁ Yf.
(e) How high above the edge of the cliff does the rock rise?
Enter to 2 significant figures
4y= 2.2
✔m
V
(f) How far has it moved horizontally when it is at maximum altitude?
Enter to 2 significant figures](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3eb3c55-3996-4e07-93a0-a3410210cd33%2F15a08a5e-14ea-46d6-a041-0df9989a60f1%2F71zu1k_processed.png&w=3840&q=75)
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