3. A train travels between two stations 792 m apart in a minimum time of 41 seconds. If the trainaccelerates and delerates at 2.4 m/s?, starting from rest at the first station and coming to a stop at thesecond station, what is the maximum speed? How long does it travel at this top speed? Complete thediagram for a-t, v-t, and s-t.

Answered: Image /qna-images/answer/1cf27ea9-9cc5-4b8c-8b11-b4861ee521cc.jpg

Answered: 3. A train travels between two stations…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 34PE: In World War II, there were several reported cases of airmen who jumped from their flaming airplanes...

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(a) By taking the slope of the curve in Figure 2.60, verify that the velocity of the jet car is 115 m/sat t=20 S. (b) By taking the slope of the curve at any point in Figure 2.61, verify that the jet car's acceleration is 5.0 m/s2.
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h, and 45.0 min at 40.0 km/h and spends 15.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. (b) Determine the distance between the initial and final cities along the route.
In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot's speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of 3.0 m.
An airplane flying directly eastward at a constant speed travels 300 km in 2.0 h. (a) What is the average velocity of the plane? (b) What is its instantaneous velocity?
An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station? How fast is the train moving, in meters per second, when its front leaves the station? If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station? What is the velocity of the end of the train as it leaves in m/s?
A hypothetical spaceship takes a straight-line path from the Earth to the moon, a distance of about 400,000 km. Suppose it accelerates at 10.0 m/s2 for the first 20 minutes of the trip, then travels at constant speed until the last 20 minutes, when it accelerates at -10.0 m/s2, just coming to rest as it reaches the moon. What total time in minutes is required for the trip?
Two cars, facing opposite directions, are 10 m apart on a linear track. Starting at the same time, both riders accelerate at a rate of 2.0 m/s^2. How far apart (in m) will they be after 3.0 s?*
While driving down a straight road at 70.5 km/h, you pass your physics professor who happens to be out for a jog. He's running at a constant 4.00 m/s, and you decide to slow down and talk physics with him. If you apply your brakes exactly when you pass him on the road, and your car accelerates at 3.58 m/s2 during the breaking, how far do you end up going before he catches up to you?
You are arguing over a cell phone while trailing an unmarked police car by 25m; both your car and the police car are travelling at 120km/h. Your argument diverts your attention from the police car for 2.0s (long enough for you to look at the phone and yell, “I won’t do that!”). At the beginning of that 2.0s, the police officer begins braking suddenly at 5.05m/s^2. What is the separation between the two cars when your attention finally returns? Suppose that you take another 0.500s to realize your danger and begin braking. If you too brake at 5.05 m/s^2, what is your speed when you hit the police car?
Large cockroaches can run as fast as 1.50 m/s in short bursts. Suppose you turn on the light in a cheap motel and see one scurrying directly away from you at a constant 1.50 m/s. If you start 0.90 m behind the cockroach with an initial speed of 0.80 m/s toward it, what minimum constant acceleration would you need to catch up with it when it has traveled 1.20 m, just short of safety under a counter?
(II) A kangaroo jumps straight up to a vertical height of 1.45 m. How long was it in the air before returning to Earth?
A cannonball is fired at 180 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 814 (m). What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? (s) How fast (velocity) will the first cannon ball be traveling just before the collision? (m/s) How fast (velocity) will the second cannon ball be traveling just before the collision? (m/s)

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