A batter hits two identical baseballs with the same initial speed and from the same initial height but at different initial angles. Prove that both balls have the same speed at any height h if air resistance can be ignored.
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A batter hits two identical baseballs with the same initial speed and
from the same initial height but at different initial angles. Prove that
both balls have the same speed at any height h if air resistance can be
ignored.
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- You drop a 2.20 kg book to a friend who stands on the ground at distance D = 15.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 6.80 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i Units (c) Number i UnitsBasilisk lizards can run across the top of a water surface.With each step, a lizard first slaps its foot againstthe water and then pushes it down into the water rapidly enough toform an air cavity around the top of the foot. To avoid having topull the foot back up against water drag in order to complete thestep, the lizard withdraws the foot before water can flow into theair cavity. If the lizard is not to sink, the average upward impulseon the lizard during this full action of slap, downward push, andwithdrawal must match the downward impulse due to the gravitationalforce. Suppose the mass of a basilisk lizard is 90.0 g, the massof each foot is 3.00 g, the speed of a foot as it slaps the water is1.50 m/s, and the time for a single step is 0.600 s. (a) What is themagnitude of the impulse on the lizard during the slap? (Assumethis impulse is directly upward.) (b) During the 0.600 s duration ofa step, what is the downward impulse on the lizard due to the gravitationalforce? (c) Which…A car traveling at 22 m/s runs out of gas while traveling up a 200 slope. How far up the hill will it coast before starting to roll back down? Assume that car rolls without friction.
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