A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 110 m high. The initial speed of the rock is 36 m/s. (a) Fill in the following: Enter to 2 significant figures Vo = 36 Vox Voy = 22 29 m S m X = S m (b) vx changes during the motX. (c) vy changes during the mot V. (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, VX, vy, ax, ay. Label on your diagram the initial and final positions of the rock xo, Yo, and Xf, yf. (e) How high above the edge of the cliff does the rock rise? Enter to 2 significant figures Ay= S (f) How far has it moved horizontally when it is at maximum altitude? Enter to 2 significant figures Δx= m m (g) How long after the release does it hit the ground? Enter to 2 significant figures t ground S
A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 110 m high. The initial speed of the rock is 36 m/s. (a) Fill in the following: Enter to 2 significant figures Vo = 36 Vox Voy = 22 29 m S m X = S m (b) vx changes during the motX. (c) vy changes during the mot V. (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, VX, vy, ax, ay. Label on your diagram the initial and final positions of the rock xo, Yo, and Xf, yf. (e) How high above the edge of the cliff does the rock rise? Enter to 2 significant figures Ay= S (f) How far has it moved horizontally when it is at maximum altitude? Enter to 2 significant figures Δx= m m (g) How long after the release does it hit the ground? Enter to 2 significant figures t ground S
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:(h) What is the range of the rock?
Enter to 2 significant figures
X
Ax total
(i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 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=
X
m
y=
m
Transcribed Image Text:1. A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 110 m high. The
initial speed of the rock is 36 m/s.
(a) Fill in the following:
Enter to 2 significant figures
Vo = 36
Vox
||
Voy
=
22
29
✓
m
S
m
S
=
m
S
(b) v changes during the mot
(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, Vx, Vy, ax, ay. Label on your diagram the initial and final positions of the rock x₁, yo, and X₁, ₁.
X'
(e) How high above the edge of the cliff does the rock rise?
Enter to 2 significant figures
Ay=
(f) How far has it moved horizontally when it is at maximum altitude?
Enter to 2 significant figures
Δx=
X
m
m
X.
(g) How long after the release does it hit the ground?
Enter to 2 significant figures
t ground
(h) What is the range of the rock?
S
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Step 1: Message regarding multiple sub-parts question.
VIEWStep 2: Given data
VIEWStep 3: Representation of given situation.
VIEWStep 4: Calculation for maximum height attained by object from the launch point.
VIEWStep 5: Calculation for time taken by obejct to reach the maximum height.
VIEWStep 6: Calculation for horizontal distance traveled by object when it is at maximum height.
VIEWStep 7: Calculation for time taken by object to hit the ground level.
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