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. 3.82 The experiment is designed so that the seeds move no more than 0.20 mm between photographic frames. What minimum frame rate for the high-speed camera is needed to achieve this? (a) 250 frames/s; (b) 2500 frames/s; (c) 25.000 frames/s; (d) 250,000 frames/s.
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. 3.82 The experiment is designed so that the seeds move no more than 0.20 mm between photographic frames. What minimum frame rate for the high-speed camera is needed to achieve this? (a) 250 frames/s; (b) 2500 frames/s; (c) 25.000 frames/s; (d) 250,000 frames/s.
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.
3.82 The experiment is designed so that the seeds move no more than 0.20 mm between photographic frames. What minimum frame rate for the high-speed camera is needed to achieve this? (a) 250 frames/s; (b) 2500 frames/s; (c) 25.000 frames/s; (d) 250,000 frames/s.
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?
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 }
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 =
Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
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