A train is required to run between two stations 1.8 km apart at a schedule speed of 36 km/h, theduration of stops being 25 seconds. The braking retardation is 2.5km/h/s. Assuming dtrapezoidal speed/time curve, calculate the acceleration if the ratio of maximum speed toaverage speed is to be 1.29

Assuming a trapezoidal speed/time curve, we have to calculate the acceleration if the ratio of…

Answered: A train is required to run between two…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A climber is climbing a mountain and after 3 hours is at an elevation of300 metres. After 7 hours the climber is at 900metres. What was the average rate of change of the climber's elevation over this time period?
A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen minutes later a second runner begins at the same point, running at a rate of 8 mi/hr and following the same course. How long will it take the second runner to reach the first?
Please don't provide handwritten solution ....
An object weighting w pounds on the surface of the earth, will weight wR² W(x) = x2 R. at distance z from the center of the earth, where R = 3,960 miles is the radius of the earth. Use linear approximation to estimate the weight lost by a 160 lb passenger flying in an airplane at an altitude h of 6 miles.
Suppose that we track the velocity of Prof.Watkins' car within the first 19 seconds it is traveling and we get that v(0)%3D0,v(3) = 50, v(6) = 83, v(8) = 104, v(12) = 131, and v(19) = 161. How far did his car travel in those 19 seconds if we use a right endpoint approximation and assume that the velocity was given in feet per second? OA 377 feet 1200 OB. 1131 feet OC. 931.5 feet 0.25875 feet None of the listed answers
The upward velocity of a rocket can be computed by the formula below. Compute for the time t at which the velocity is 1450m/s using Bisection method if u = 2200m/s, m0 = 160,000Kg, q = 2680Kg/s and g = 9.8m/s2. Tabulate the results and use Ea  0.00001 as terminating condition.
What is the difference between an object with constant acceleration and an object with constant speed?
If the position of a particle of mass m at time t seconds is given by 7= ( + 1)i- 2j+fk, which of the following fits the motion of the objecr? Variable Constant Velocity Acceleration
When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂, t3,... that are not equally spaced. We can still estimate distances using the time periods At₁ = t₁ - ti-1. The following table gives the velocity data for a space shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height above the earth's surface of the space shuttle, 62 seconds after liftoff. Event Launch Begin roll maneuver End roll maneuver Throttle to 89% Throttle to 67% Throttle to 104% Maximum dynamic pressure Solid rocket booster separation Time (s) 0 10 15 20 32 59 62 125 Velocity (ft/s) 0 185 350 447 855 1325 1445 4151 (a) Find an upper estimate (b) Find a lower estimate (c) Can you obtain an improved estimate from these two estimates? Explain. (d) Is it reasonable to estimate the height, 125 seconds after liftoff? Explain.
An automobile, traveling at a constant rate, starts at home at time t = 0 and ends up 10 hours later 200 miles from home. It than changes speed and continues for the next 10 hours ending up 300 miles from home. It takes another 10 hours for it to return home. On two separate set of axes, sketch graphs of the distance and velocity functions.
The path of ball thrown into the air is modeled by the first quadrant graph of the equation h = -16t2 + 64t + 5, where h is the height of the ball in feet and t is time in seconds after the ball is thrown. What is the average rate of change in the ball’s height with respect to time over the interval [1, 3]?
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wine change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, o can be asse be 235 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. O No. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site. O Yes. This interval…

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

A train is required to run between two stations 1.8 km apart at a schedule speed of 36 km/h, the duration of stops being 25 seconds. The braking retardation is 2.5km/h/s. Assuming d trapezoidal speed/time curve, calculate the acceleration if the ratio of maximum speed to average speed is to be 1.29