A train is traveling at 50 m/s and needs to come to a stop before it hits an empty car abandoned on the tracks. It can decelerate at a rate of 2 m/s² and only has 300 meters to stop. Will it stop in time?
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- A spacecraft starts from rest, and makes a journey to a destination 109000 km from its starting point. It does so by accelerating at a constant rate of 7.56 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 7.56 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? A 4 hr 0 min B 2 hr 0 min C 2 hr 7 min D 1 hr 29 minA spacecraft starts from rest, and makes a journey to a destination 458000 km from its starting point. It does so by accelerating at a constant rate of 6.46 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 6.46 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? 3 hr 18 min 19 hr 42 min 9 hr 51 min 4 hr 41 minExample: A bird flies east at 10m/sec for 100m. it then turns around and flies at 20m/sec for 15sec. find (a) its average speed (b) its average velocity.
- A car moving in a straight line starts at xx = 00 at tt = 00 . It passes the point xx = 20.0 mm with a speed of 10.5 m/sm/s at tt = 3.00 ss . It passes the point xx = 380 mm with a speed of 45.0 m/sm/s at tt = 20.0 ss . Find the average velocity between tt = 3.00 ss and tt = 20.0 ss . answer with the appropriate units. Find the average acceleration between tt = 3.00 ss and tt = 20.0 ss . answer with the appropriate units.A car traveling in a straight line with an initial velocity of 8.8m/s accelerates at a rate of 3.0m/s to a velocity of 23.8 m/s. Enter your answers to 3Sigfigs with proper units. What is the distance covered by the car in this process?A driver in Spain is on a street that has a posted speed limit of vm=75 km/hr and is traveling above the speed limit by vc=28 km/hr. A SUV pulls out of a garage into the street in front of the driver d=24 m in front if of the driver and stops there. The driver immediately brakes and begins decelerating at a rate of ab=4.9 m/s^2. How fast in meters per second is the driver traveling when he hits the SUV in front of him?
- A jet plane lands with a velocity of 100 m s and can accelerate at a maximum rate of −5m/s2 as it comes to rest. (a) From the instant it touches the runway, what is the minimum time needed before it stops? (b) Can this plane land at a small airport where the runway is 0.80 km long?A spaceship ferrying workers to Moon Base I takes a straight-line path from the earth to the moon, a distance of 384000 km. Suppose it accelerates at an acceleration 20.0 m/s2 for the first time interval 15 min of the trip, then travels at constant speed until the last time interval 15 min , when it accelerates at 20.0 m/s2 , just coming to rest as it reaches the moon. What is the maximum speed attained? What fraction of the total distance is traveled at constant speed? What total time is required for the trip?You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2. How much distance is between you and the deer when you come to a stop? Express your answer in meters.
- An object with an initial velocity of 5m/s5m/s slows to 1m/s1m/s over a distance of 10m10m. What is the magnitude of its average acceleration?A spacecraft starts from rest, and makes a journey to a destination 252000 km from its starting point. It does so by accelerating at a constant rate of 6.93 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 6.93 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? 1 2 hr 22 min 2 10 hr 6 min 3 5 hr 3 min 4 3 hr 21 minA 150kg fish swimming at 8.0m/s swallows a 15kg fish swimming towards it at 4.0m/s. What is the speed of the larger fish immediately after eating the little fish?