2 An airplane decelerates at a constant rate of 4.87 m/s when it landed on the runway of an airport. For a duration of 15.4 s, the plane has covered a distance of 1310 m between two points along the airport runway. What is the speed of the airplane at the first point? O 47.6 m/s O 75.0 m/s 123 m/s 113 m/s
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- A plane flies 36.0° north of east for 1.80 km to get to city B. The trip takes 3.00 hours. The plane departs city B and travels due west to reach city C. City C is 811 km from city B and the trip takes 1.80 hours. Let the positive 2-direction point due east and the positive y-direction point due north. a) Which vector below represents the plane's average velocity? N B E OĎProblem 2: I need to drive from A to C via B at total distance of AL. The distance from A to B is AL1, from B to C is AL2. I have time At to get from A to C, so I figure I can make it if I average = AL/At for the entire trip. Going from A to B, the traffic is heavy and I can only average a speed v1. AL1 AL2 A В C Part (a) How fast do I have to go from B to C in order to average for the whole trip? Write an equation expressing v2 (the speed I need to average going from B to C) in terms of the other symbols given: v, AL1, AL2, and At.The position of a particle moving along the x-axis is given by x = 30 t2- 30 t“, where x is in meters and t is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-direction? O 3 m 4.2 m O 5.6 m O 27 m O 9.8 m
- A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h. 450.0 +40.0 C. +30.0 +20.0 B +10.0 0.5 1.0 1.5 2.0 2.5 3.0 Time (h) (a) Number i Units (b) Number i Units (c) Number i Units Position x (km)1. A train leaves the station on a 50 km commute. The train must make a 60-second stopevery 1.0 km to pick up and drop off passengers. The train accelerates at 2.0 m/s2, then cruises at90 km/h, and then decelerates at 5.0 m/s2 between stops.(a.} How many stops does the train make?(b.} How long does it take for the train to get from one stop to the next?(c.} What is the total time for the entire commute?The velocity and acceleration of an object at a certain instant are 3 = (3.0 m/s)j ä = (5 m/s²)î At this instant, the object is Ospeeding up and moving in a straight line. speeding up and following a curved path. slowing down and following a curved path. moving with constant speed and following a curved path. slowing down and moving in a straight line.
- You are driving your car along a country road at a speed of 23.6 m/s. As you come over the crest of a hill, you notice a farm tractor 25.0 m ahead of you on the road, moving in the same direction as you at a speed of 10.0 m/s. You immediately slam on your brakes and slow down with a constant acceleration of magnitude 7.20 m/s2. How far is the tractor in front of you when you finally stop?The position of a particle moving along the x axis is given by x= (21 + 22t - 5.0t?)m , where tis in s. What is the average velocity during the time interval t= 1.0 s to t=3.0 s? O a. 14 m/s О b. 10 m/s О с. 2 m/s O d. 18 m/s O e. 6 m/sYou throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 6.00 ss after it was thrown. What is the speed of the rock just before it reaches the water 27.0 mm below the point where the rock left your hand? Ignore air resistance.
- A rocket-powered sled moves along a track, eventually reaching a top speed of 247 m/s to the west. It then begins to slow down, reaching a complete stop after slowing down for 3.92 s. What was the sled s average acceleration and velocity during the slowdown phase? 0 m/s^2 0, 123.5 m/s west 63.0 m/s^2 west, not enough information 123.5 m/s^2 east, 123.5 m/s east 63.0 m/s^2 east, not enough informationA particle moves in such a way that a = 2t + 2 m/s/s, where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. O 15 O 25 O 30 O 376 40 4:05 O O 6.40 A (VPN KB/S 79 At time t= 0, a car and a truck are side by side on a freeway: car's velocity just then is zero car's constant acceleration is 6.0 m/s2 truck's velocity just then is 8.00 m/s truck's constant acceleration is 2.00 m/s2 How far down the road is the point where the car and truck will again be side by side? Number i Units ()