Basidiomycete fungi ballistically eject millions of spores into the air by releasing the surface tension energy of a water droplet condensing on the spore. The spores are ejected with typical speeds of 1.29 m/s, allowing them to clear the "boundary layer" of still air near the ground to be carried away and dispersed by winds. (a) If a given spore is accelerated from rest to 1.29 m/s in 7.10 us, what is the magnitude of the constant acceleration of the spore (in m/s2) while being ejected? m/s2 (b) Find the maximum height of the spore (in cm) if it is ejected vertically. Ignore air resistance and assume that the spore is ejected at ground level. cm (c) Find the maximum horizontal range of the spore (in cm) if it is ejected at an angle to the ground. Ignore air resistance and assume that the spore is ejected at ground level. cm

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Basidiomycete fungi ballistically eject millions of spores
into the air by releasing the surface tension energy of a
water droplet condensing on the spore. The spores are
ejected with typical speeds of 1.29 m/s, allowing them to
clear the "boundary layer" of still air near the ground to be
carried away and dispersed by winds.
If a given spore is accelerated from rest to 1.29 m/s in 7.10 µs, what is the magnitude of the constant acceleration of the spore (in m/s?) while
(a)
being ejected?
m/s2
(b)
Find the maximum height of the spore (in cm) if it is ejected vertically. Ignore air resistance and assume that the spore is ejected at ground level.
cm
Find the maximum horizontal range of the spore (in cm) if it is ejected at an angle to the ground. Ignore air resistance and assume that the spore
(c)
is ejected at ground level.
cm
Transcribed Image Text:Basidiomycete fungi ballistically eject millions of spores into the air by releasing the surface tension energy of a water droplet condensing on the spore. The spores are ejected with typical speeds of 1.29 m/s, allowing them to clear the "boundary layer" of still air near the ground to be carried away and dispersed by winds. If a given spore is accelerated from rest to 1.29 m/s in 7.10 µs, what is the magnitude of the constant acceleration of the spore (in m/s?) while (a) being ejected? m/s2 (b) Find the maximum height of the spore (in cm) if it is ejected vertically. Ignore air resistance and assume that the spore is ejected at ground level. cm Find the maximum horizontal range of the spore (in cm) if it is ejected at an angle to the ground. Ignore air resistance and assume that the spore (c) is ejected at ground level. cm
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