BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts, propelling the seeds through the air. The trajectory of these seeds can be determined with a high-speed camera. In an experiment on one type of plant, seeds are projected at 20 cm above ground level with initial speeds between 2.3 m/s and 4.6 m/s. The launch angle is measured from the horizontal, with +90° corresponding to an initial velocity straight up and −90° straight down. 3.84 If a seed is launched at an angle of 0° with the maximum initial speed, how far from the plant will it land? Ignore air resistance, and assume that the ground is flat, (a) 20 cm; (b) 93 cm; (c) 2.2 m; (d) 4.6 m.
BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts, propelling the seeds through the air. The trajectory of these seeds can be determined with a high-speed camera. In an experiment on one type of plant, seeds are projected at 20 cm above ground level with initial speeds between 2.3 m/s and 4.6 m/s. The launch angle is measured from the horizontal, with +90° corresponding to an initial velocity straight up and −90° straight down. 3.84 If a seed is launched at an angle of 0° with the maximum initial speed, how far from the plant will it land? Ignore air resistance, and assume that the ground is flat, (a) 20 cm; (b) 93 cm; (c) 2.2 m; (d) 4.6 m.
BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts, propelling the seeds through the air. The trajectory of these seeds can be determined with a high-speed camera. In an experiment on one type of plant, seeds are projected at 20 cm above ground level with initial speeds between 2.3 m/s and 4.6 m/s. The launch angle is measured from the horizontal, with +90° corresponding to an initial velocity straight up and −90° straight down.
3.84 If a seed is launched at an angle of 0° with the maximum initial speed, how far from the plant will it land? Ignore air resistance, and assume that the ground is flat, (a) 20 cm; (b) 93 cm; (c) 2.2 m; (d) 4.6 m.
In your Christmas Party, one of the
games is Egg Catching. Suppose
You throw the egg at a 45° angle to
your friend standing 30.5 m away.
Your friend's hand aim to catch your
egg at 1.5 m above the ground. At
what initial height, and with what
initial speed, should you release the
egg so that your friend can catch it
without moving his/her hands?
While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on the surface with speed vf = 7.75
m/s at an angle = 33° below horizontal. Assume that the person moves without air resistance. Use a Cartesian coordinate system with the origin at her final
position. The positive x-axis is directed from her initial to her final position, and the positive y-axis is directed vertically upwards.
Part (a) Enter an expression for the jumper's initial velocity vector in terms of vf, 0, g, and the unit vectors i and j.
Vo = Vf cos(0) i+vf sin(0) j✔ Correct!
Part (b) Calculate the maximum height, in meters, that the jumper reaches above ground level.
✓ Correct!
hmax=0.908
33% Part (c) What x position, in meters, did the jumper begin her long jump?
xo =
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 0, - 32.0°,
e2 = 49.0°, and e3 = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of
the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less
than 180°, measured from the +x direction.
dy
dg
(a) Number
9.853
Units
(b) Number
-123.8
Units
(degrees)
Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
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