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 =
During a heated game of bocce ball, Ursula is attempting to
knock the pallino (the small, white target ball) away from
where her opponent's balls lie on the ground. She can do
this by throwing her ball so that it lands directly on top of
the pallino, which is x = 17 m horizontally downcourt from
where she throws. If she releases the ball y = 0.90 m above
the ground at an angle of 0 = 23° above the horizontal,
then how much time will the ball spend airborne before
hitting the pallino? Both balls may be treated as point
particles in this problem.
Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
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