2 Two trains, one travelling at 72 km/h and the other one at 144 km/h, are headed toward one another along a straight level track. When they are 950 m apart, each engineer sees the other’s train and applies breaks. If the breaks decelerate each train at the rate of 1m/s2, is there a collision?
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2 Two trains, one travelling at 72 km/h and the other one at 144 km/h, are headed toward one another along a straight level track. When they are 950 m apart, each engineer sees the other’s train and applies breaks. If the breaks decelerate each train at the rate of 1m/s2, is there a collision?
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- 1. Two dogs stand facing each other a distance of 105 meters apart. They begin to run towards each other. Dog A runs at a constant velocity of 2.5 m/s; Dog B is going the opposite direction at a constant -1.8 m/s. A L x=0 ... a) How long before the dogs collide? b) At what position do they meet (x = ?)? B q x=105m1. Cars A and B are traveling respectively at the constant speeds of (v) = 22 mi/h and (VB) ¸ = 13 mi/h on an ice-covered road. To avoid overtaking car B, the driver of car A applies his brakes so that his car decelerates at a constant rate of 0.14 ft/s². Determine the distance d between the cars at which the driver of car A must apply his brakes to just avoid colliding with car B. (₁) B (VB)03. The blue F1 Ford truck is travelling at 5 mph as it strikes the black SUV which then strikes the red vW Bug. Assuming all vehicles are manual transmission and in neutral (so we can make a valid assumption of ignoring friction), determine post-impact velocity of each vehicle. COR is 0.7. 3500 Ib 4100 Ib 2200 Ib
- 2. The drawing shows a device that you can make with a piece of cardt used to measure a person's reaction time. Hold the card at the top and suddently drop it. Ask a friend to try to catch the card between his or her thumb and index finger. Initially, your friend's fingers must be level with the asterisks at the bottom. By noting where your friend catches the card, you can determine his or her reaction time in milliseconds (ms). Calculate the distances d., d.. and d1. A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Three seconds later the bicyclist hops on his bike and begins to follow the friend with an initial speed of 10 m/s. Assume the bicyclist continues at a constant speed of 10 m/s until he catches the friend. a) Calculate the time it takes to catch his friend. b) How fast is he moving when he catches his friend? c) How far did he travel to catch his friend?4. A cat is resting on a lawn 25.7 m from a fence with a hole it in. A rabbit, hopping at a constant 8.7 m/s, bounces past the cat moving towards the fence. The cat gives chase, accelerating at 1.20 m/s?. a) How long would it take the rabbit to reach the fence, assuming that it's already moving at top speed? b) How long would it take the cat to reach the fence? c) Is the rabbit able to escape from the cat through the fence? Explain.
- 4. A car is driving at a speed of 25 m/s on a horizontal road. Determine the minimum distance in which the car will stop in each of the following cases. A. On a rainy day where µs = 0.125. B. On a sunny day where us = 0.650.2. During a demolition derby, 2 cars are initially facing each other so they will be moving in opposite directions. The red car accelerates from rest at 3m/s?. The green car, initially moving at 4m/s, accelerates at 1.8 m/s². If they start 100m from each other, where will they collide? 5.68s at 48.4m 3. During a demolition derby, 2 cars are initially facing each other so they will be moving in opposite directions. T 3m/s2. The green car, initially moving atA jeepney and a train are moving together along parallel paths at 30.0 m/s, with the jeepney adjacent to the rear of the train. The jeepney driver sees the traffic light turn red, so he accelerates at -2.50 m/s2, and then let his jeepney come to rest. The jeepney is at rest for 50.0 s, and then accelerates at 2.50 m/s2 to go back to a speed of 30.0 m/s. Assuming that the speed of the train remained constant at 30.0 m/s, how far is the jeepney from the rear of the train when the jeepney reaches a speed of 30.0 m/s?
- 3) A particle is moving along the surface of a vertical cylinder. The motion is described by the relationships: r = A, 0 = 2nt and z = B sin(2nnt). In these equations A and B are constants and n is an integer. What is the magnitude of the velocity of the particle at an arbitrary time t? Take g = 9.81 m/s² when you need to use it.1. Driving down the highway, you find yourself behind a heavily loaded tomato truck. You follow close behind the truck, keeping the same speed. Suddenly a tomato falls from the back of the truck. Will the tomato hit your car or land on the road, assuming you continue moving at the same speed and direction? Explain1.the speed of a nerve impulse in the human body is about 100 m/s. if you accidentally stub your toe in the dark. estimate the time it takes the nerve impulse to travel to your brain if the average height for humans are 1.7 m * 2.the cheetah can reach a top speed of 114 km/h. while chasing its prey in a short sprint, a cheetah starts from rest and runs 45m in a straight line, reaching a final speed of 72 km/h. what is the cheetah's average acceleration during the short sprint? 3.a certain car is capable of accelerating at a rate of 0.6 m/s^2. How long does it take for this car to go from a speed of 55 mi/h to a speed of 60mi/h. (be cautious of the units) * 4.an object moving with uniform acceleration has a velocity of 12cm/s in the positive x-direction when its x-coordinate is 3cm. if its x-coordinate 2s later is -5cm, what is its acceleration? * 5.a truck covers 40 m in 8.5 s while uniformly slowing down to a final velocity of 2.8 m/s. determine the truck's original speed. *
