A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v. = 21.5 m/s. The cliff is h = 41.4 m above a body of water as shown in the figure below. Ⓡ (a) What are the coordinates of the initial position of the stone? (Note that the origin is at the base of the cliff, where the x- and y-axes intersect.) x=0.00 ✔m ✔m Y;= 41.4 (b) What are the components of the initial velocity of the stone? V=21.5 ✓ m/s Viy= 0.0 ✔ m/s (c) What is the appropriate analysis model for the vertical motion of the stone? particle under constant, nonzero acceleration O particle under constant speed (d) What is the appropriate analysis model for the horizontal motion of the stone? particle under constant speed O particle under constant, nonzero acceleration (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: V 9, and t. Indicate the direction of the velocity with the sign of your answer.) Vfx-Vix gt x (f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: Vih, g, and t. Indicate the direction of the displacement with the sign of your answer.) x= vix VV+1/2gt² X
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v. = 21.5 m/s. The cliff is h = 41.4 m above a body of water as shown in the figure below. Ⓡ (a) What are the coordinates of the initial position of the stone? (Note that the origin is at the base of the cliff, where the x- and y-axes intersect.) x=0.00 ✔m ✔m Y;= 41.4 (b) What are the components of the initial velocity of the stone? V=21.5 ✓ m/s Viy= 0.0 ✔ m/s (c) What is the appropriate analysis model for the vertical motion of the stone? particle under constant, nonzero acceleration O particle under constant speed (d) What is the appropriate analysis model for the horizontal motion of the stone? particle under constant speed O particle under constant, nonzero acceleration (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: V 9, and t. Indicate the direction of the velocity with the sign of your answer.) Vfx-Vix gt x (f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: Vih, g, and t. Indicate the direction of the displacement with the sign of your answer.) x= vix VV+1/2gt² X
College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solve only part (e) please
Transcribed Image Text:A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v. = 21.5 m/s. The cliff is h = 41.4 m above a body of water as shown in the figure below.
Ⓡ
(a) What are the coordinates of the initial position of the stone? (Note that the origin is at the base of the cliff, where the x- and y-axes intersect.)
x₁ = 0.00
Y;= 41.4
(b) What are the components of the initial velocity of the stone?
Vix = 21.5
= 0.0
Viy=
✓
m
✓ m
(c) What is the appropriate analysis model for the vertical motion of the stone?
particle under constant, nonzero acceleration
O particle under constant speed
✓ m/s
✓ m/s
(d) What is the appropriate analysis model for the horizontal motion of the stone?
particle under constant speed
O particle under constant, nonzero acceleration
Vfy
V = |gt
(e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: Vig, and t. Indicate the direction of the velocity with the sign of your answer.)
Vfx=
Vix
YF=Vint+1/2gt²
X
(f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: Vixh, g, and t. Indicate the direction of the displacement with the sign of your answer.)
v.t
IX
X
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