A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot ., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched (a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot ., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched (a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched
(a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
Oasis B is 9.0km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction
15.0° south of east and then
walks 34 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction
(relative to the positive x-axis within the range (-180°, 180°]) should it walk?
Gruen data : Distance between A AND B'is d = 9,0 Km
Please Note:
step I
step 2
all the answeRs are
correct,
The vector diagram of displacement of camel is shown below.
A From step 4 (b)
Please explain (Cindetail
Why y ou use the 270°
Qnd - tan () insteod
of ton" )
Theunk jou!
N
R
d2
W-
B
E
C
E
In above figure:
Step 4
d, = 20 km
(а)
d, = 34 km
The distance travelled by the camel to reach the oasis B is:
JBC + DC
DB =
Step 3
(10.318 km ) +(28.823 km )*
= 30.6 km
From geometrical property:
(b) * Explaruthion, Please
BC = AC – AB
= d̟ cos15° - d
= (20 km ) cos15° – 9.0 km 0 = 270° – ZCDB
= 10.318 km
The direction of displacement relative to positive x-axis is
ВС
= 270°- tan
DC
DC = DE - CE…
Because of your physics background, you have been hired as a consultant for a newmovie about Galileo. In one scene, he climbs up to the top of a tower and, in frustration over the people who ridicule his theories, throws a rock at a group of them standing on the ground. The rock leaves his hand at 30 degrees from the horizontal. The script calls forthe rock to land 15 m from the base of the tower near a group of his detractors. It isimportant for the script that the rock takes precisely 3.0 seconds to hit the ground sothat there is time for a good expressive close-up. The set coordinator is concerned thatthe rock will hit the ground with too much speed, causing cement chips from the plazato injure on of the high priced actors. You are told to calculate that speed.
Black vultures excel at gliding flight; they can move long distances through the air without flapping their wings while undergoing only a modest drop in height. A vulture in a typical glide in still air moves along a path tipped 3.5° below the horizontal. If the vulture moves a horizontal distance of 100m, how much height does it lose?
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University Physics with Modern Physics (14th Edition)
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