1. 40e-2t mi/h². An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) = (a) Find the velocity function, v(t), of the object. (b) What happens to the object's velocity as time increases? What maximum value does it approach? (c) Assuming that s(0) = 0, find the position of the object half an hour later (whent = 0.5). Round off your final answer to three decimal places.

1. 40e-2t mi/h². An object traveling with initial velocity v(0) = 50 mi/h begins accelerating with a(t) = (a) Find the velocity function, v(t), of the object. (b) What happens to the object's velocity as time increases? What maximum value does it approach? (c) Assuming that s(0) = 0, find the position of the object half an hour later (whent = 0.5). Round off your final answer to three decimal places.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 54AP: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s...

See similar textbooks

Similar questions

An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 20,796 g s 10,398 g s 2,120 g s 1,060 g s
A rocket is fired upward with a velocity (v) of 590 feet per second. find how many seconds pass before the rocket reaches the ground (s=0) again. use the quadratic equation s=-16t^2+590t.
Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s and was brought jarringly back to rest in only 1.40 s. Calculate his (a) acceleration in his direction of motion and (b) acceleration opposite to his direction of motion. Express each in multiples of g (9.80 m/s2) by taking its ratio to the acceleration of gravity.
The deck of a bridge is suspended 225 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 225 − 16t2 a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time. 0.1 seconds 0.05 seconds 0.01 seconds b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds
A rocket ship has a position given by x(t)=bt2 meters. In order for it to reach a velocity of 5,000 m/s in 40,000 meters, what must be the value of b?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
And object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s squared before its final velocity is equal to twice its initial velocity?
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.54
An unmarked police car traveling a constant 95 km/hkm/h is passed by a speeder traveling 129 km/hkm/h . Precisely 1.00 ss after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.80 m/s2m/s2 , how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder (assumed moving at constant speed)? Express your answer with the appropriate units.
How much time t (in seconds) does it take light to travel from the Moon to the Earth, a distance D = 384,000 km? Assume the speed of light is c = 3.00x108 m/s.
An auto travels going to Roxas City at a rate of 25 km/hr for 0.045 hour , then at 50 km/hr for 0.056 hr, and finally at 20 km/hr for 0.015 hour. Find the total distance covered in km and the velocity for the complete trip.