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- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16Figure OQ3.3 shows a birds-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which of the vectors (a) through (e) shows the direction of the cars average acceleration between these two points?A stunt car leaves a 15° upward ramp at 35. The car jumps over a ravine and lands on the other side at 5 m S below the height from which it was launched. a) What is the maximum width of the ravine? (Answer: 77.5 m) b) What is the impact velocity of the car in magnitude and angle? (Answer: 36@21° below x)
- Batman’s missile is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.a) What is the horizontal range (maximum x above ground) of the missile?b) What is the magnitude of the velocity of the missile just before it hits the ground?A boy is standing from the top of a cliff 8 m from the ground and he has a bow which is aimed 40 degrees from the horizontal. He can release the bow with an initial velocity of 15 m/s. An animal is below the cliff and is moving towards the boy at a velocity of 5 m/s. For the bow to hit the animal, at what distance D should the animal be when the bow is fired?Imagine an archer preparing to fire an arrow. The archer aims the arrow directly ahead, that is to say, parallel with the ground. Bows are drawn to the corner of the mouth when fired. Let's say, for this particular archer, that puts the arrow 1.8 m (about 5.5 feet) above the ground. Assume that we have measured the initial speed of arrows fired by this archer with this bow and it is 100 m/s. (Ignore wind resistance) a) At what point during the arrow's flight will it be moving the fastest? (Be careful here, think about it. You don't need to do any calculations to figure this out.) b) How long will it take for the arrow to hit the ground?c) How far will the arrow travel during this time period?
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- Two cats are sitting side-by-side on a fence when they’re startled bya dog. The cats jump off the fence with equal speeds, but differentinitial angles relative to the horizontal. Cat 1 jumps at an angle of45° above the horizontal; cat 2 jumps at an angle of 45° below thehorizontal. Is the landing speed of cat 1 greater than, less than, orequal to the landing speed of cat 2?A projectile is fired from the top of an 88 meter high cliff with vo = 26 m/sec, directed 30° above the horizontal. a) How long does it take to reach the surrounding level plane below? b) What is the distance of the point of impact from the base of the cliff? c) What is the final velocity (magnitude and direction)?During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle 0o = 41° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.20 km and horizontal distance d = 9.70 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? 00 d B