#255 Basidiomycete fungi ballistically eject millions

Basidiomycete fungi ballistically eject millions - Physics

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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 1.11 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 1.11 m/s in 7.40 us, what is the magnitude of the constant acceleration of the spore (in m/s) while being ejected?

(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.

(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

A human expedition lands on an alien planet. One of the explorers is able to jump a maximum distance of 14.5 m with an initial speed of 2.70 m/s. Find the gravitational acceleration on the surface of the alien planet. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/s.) 063 What is the formula for the horizontal range of a projectile? How does it depend on angle and gravitational acceleration? What must the angle be for the maximum range? m/s2

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.40 m/s at an angle of 19.0° below the horizontal. It strikes the ground 5.00 s later

(a) How far horizontally from the base of the building does the ball strike the ground?

(b) Find the height from which the ball was thrown.

(c) How long does it take the ball to reach a point 10.0 m below the level of launching?

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