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23. (II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 336)? Why are there two different angles? Sketch the two trajectories. FIGURE 3-36 Problem 23. 17. 19. 21. 23. 25. 27. 29. 31. (I) A tiger leaps horizontally from a 7.5-m-high rock with a speed of 3.0 m/s. How farfrom the base of the rock will she land? (II) Estimate by what factor a person can jump farther on the Moon as compared to the Earth if the takeoff speed and angle are the same. The acceleration due to gravity on the Moon is one- sixth what it is on Earth. (II) A ball thrown horizontally at 12.2 m/s from the roof of a building lands 21.0 m from the base of the building. How high is the building? (II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 336)? Why are there two different angles? Sketch the two trajectories. (II) A grasshopper hops along a level road. On each hop, the grasshopper launches itself at angle (90 = 45 and achieves a range R = 0.80 m. What is the average horizontal speed of the grasshopper as it hops along the road? Assume that the time spent on the ground between hops is negligible. (II) A projectile is fired with an initial speed of 36.6 m/s at an angle of 422 above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered (that is, the range), and (d) the speed of the projectile 1.50 s after firing. (II) A shot-putter throws the "shot\" (mass = 7.3 kg) with an initial speed of 14.4 m/s at a 34.0\" angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.10m above the ground. (II) A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 338)? 17. 19. 21. 23. 25. 27. 29. 31. (I) A tiger leaps horizontally from a 7.5-m-high rock with a speed of 3.0 m/s. How farfrom the base of the rock will she land? (II) Estimate by what factor a person can jump farther on the Moon as compared to the Earth if the takeoff speed and angle are the same. The acceleration due to gravity on the Moon is one- sixth what it is on Earth. (II) A ball thrown horizontally at 12.2 m/s from the roof of a building lands 21.0 m from the base of the building. How high is the building? (II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 336)? Why are there two different angles? Sketch the two trajectories. (II) A grasshopper hops along a level road. On each hop, the grasshopper launches itself at angle (90 = 45 and achieves a range R = 0.80 m. What is the average horizontal speed of the grasshopper as it hops along the road? Assume that the time spent on the ground between hops is negligible. (II) A projectile is fired with an initial speed of 36.6 m/s at an angle of 422 above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered (that is, the range), and (d) the speed of the projectile 1.50 s after firing. (II) A shot-putter throws the "shot\" (mass = 7.3 kg) with an initial speed of 14.4 m/s at a 34.0\" angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.10m above the ground. (II) A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 338)