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- A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42An express train passes through a station. It enters with an initial velocity of 23.6 m/s and decelerates at a rate of 0.16 m/s² as it goes through. The station is 200 m long. a) How long is the nose of the train in the station? b) How fast is it going when the nose leaves the station? 9.An elevator starts from the ground floor and moves up with a constant speed of 4 m/s. If a bolt falls off the elevator 2 seconds after it start moving,A) How long does it take for the bolt to hit the ground?B) What is the speed of the bolt just before it hits the ground?C) If the elevator keeps moving after the bolt falls off, what is the distance between the elevator and the bolt when the bolt is 1 meter from the ground?
- A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground? Please type answerA hot air balloon is travelling vertically upward at a constant speed of 3.7 m/s. When it is 27 m above ground, a package is released from the ballon. a) After it's released, for how long is the package in the air in units of s? Acceleration of gravity is 9.8 m/s/s. b)What is the speed just before impact with the ground in m/s? c) Now assume the hot air balloon is traveling vertically downward at a constant speed of 3.7 m/s. After the package is released, how long is it in the air in s? d) What is the speed just before impact with the ground in m/s?1.) A plane flies the distance between two cities in 2 hour and 45 minutes with a velocity of 800km/h. Another plane covers that distance with 950 km/h. What is the flight time of the second plane? ( in minutes) 2.) It takes you 12 min to travel 5.0 mi to school along a straight road. You leave home 20 min before class begins. Delays caused by a broken traffic light slow down traffic to 20 mi/h for the first 2.0 mi of the trip. Will you be late for class? 3.) A red truck moving 100 km/ h overtakes a 1.5 km long train moving in the same direction on a track parallel to the road. If the speed of the train is 80.0 km/h, how long in seconds does it take the car to pass it, and how far (meter) will the car have travelled in this time
- An object is moving in the horizontal axis with a velocity of v, = (4i + 1j)“. Its initial position is r, = (10i – 4j) m. After moving with (20i – 5j) ". m a constant acceleration for 20 seconds, its velocity is v = Solve for the following: a. The components of the acceleration. b. The direction of the acceleration with respect to the x-axis. c. The position of the object at 25 seconds and its direction.a) On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38.0 m/s. Is the driver ?exceeding the speed limit of 75.0 mi/h b) What if the driver were from outside the United States and is familiar with speeds measured in kilometres per hour? What is the speed of the carin ?km/hYou are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You apply the brakes and begin decelerating at 3.2 m/s2m/s2.A) How far do you travel before stopping? (Already Answered it's 16m)B)
- A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?Manila and General Santos are about 1000 miles apart. A car leaves Manila to General Santos at the same time as a train leaves General Santos for Manila. The train is 50 mph faster than the car. Find the speed of the car if it takes 5 hours until the train and car meet.1. A ship steams at a constant velocity of 15 m/s . (a) How far does it travel in a day? (b) How long does it take to travel 500 m? 2. Car moves at 50 m/s for 30s and then at 60 m/s for 2 h. (a) How far did it go? (b) What was its average velocity for the entire trip ?
