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.
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 =
Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37o) = 3/5; cos(37o) = 4/5; and g = 10 m/s2 }
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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