The graph shows the displacement-time history for the rectilinear motion of a particle during an 8-second interval. Determine the average velocity vay during the interval and, to within reasonable limits of accuracy, find the instantaneous velocity v when t = 4 s. 8, m 10 8 00 6 4 2 0 0 Answers: 2 4 t, s When t = 4 s, 6 For the whole interval, Vav= V = 8 m/s m/s

The graph shows the displacement-time history for the rectilinear motion of a particle during an 8-second interval. Determine the average velocity vay during the interval and, to within reasonable limits of accuracy, find the instantaneous velocity v when t = 4 s. 8, m 10 8 00 6 4 2 0 0 Answers: 2 4 t, s When t = 4 s, 6 For the whole interval, Vav= V = 8 m/s m/s

Name: The graph shows the displacement-time history for the rectilinear mot
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The graph shows the displacement-time history for the rectilinear motion of a particle during an 8-second interval. Determine theaverage velocity vay during the interval and, to within reasonable limits of accuracy, find the instantaneous velocity v

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 24P: Position, Displacement, and Average Velocity Consider a coordinate system in which the positive x...

See similar textbooks

Similar questions

A particle moving along a straight line decelerates according to a = -kv, where k is a constant and v is velocity. If it's initial velocity at time t = 0 is vo=4m/s and its velocity at time t = 2s is v = 1m/s, determine the time t and corresponding distance s for the particle speed to be reduced to one tenth of its initial value
Let s(t) = ae^(1−t^2) be a function for the position in millimeters of a particle as a function of timein seconds.(a) Find expressions for the velocity and acceleration of the particle as a function of time. (b) If the particle is at position 2 mm at time 0 seconds, find a. (c) Using the value of a that you found in (b), what direction is the particle traveling inafter 2 seconds?
Starting from rest, the acceleration of particle, which is confined to move along astraight line, is given by a = 56t 2 − 33t − 9, where x is in meters and t is inseconds. Determine (a) the time required for the particle to reach a velocity of61m/s from its initial condition at t=0, (b) the acceleration of the particle whenv=25m/s, and (c) the net displacement of the particle during the interval from t=1sto t=4s.
A particle is moving with a velocity of 60m/s in the positive x-direction at t = 0s. Between t = 0s andt = 15s, the velocity decreases uniformly to zero. What was the acceleration during this 15s interval? Whatis the signi cance of the sign of your answer?
A car can be braked to a stop from the autobahn-likespeed of 200 km/h in 170 m. Assuming the acceleration is constant,find its magnitude in (a) SI units and (b) in terms of g. (c) How muchtime Tb is required for the braking? Your reaction time Tr is the timeyou require to perceive an emergency, move your foot to the brake,and begin the braking. If Tr = 400 ms, then (d) what is Tb in terms ofTr, and (e) is most of the full time required to stop spent in reactingor braking? Dark sunglasses delay the visual signals sent from theeyes to the visual cortex in the brain, increasing Tr. (f) In the extremecase in which Tr is increased by 100 ms, how much farther doesthe car travel during your reaction time?
You can use any coordinate system you like to solve aprojectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building witha velocity vS at an angle u with respect to the horizontal. Letthe building be 50.0 m tall, the initial horizontal velocity be9.00 m/s, and the initial vertical velocity be 12.0 m/s. Chooseyour coordinates such that the positive y - axis is upward, thex - axis is to the right, and the origin is at the point where theball is released. (a) With these choices, find the ball’s maximumheight above the ground and the time it takes to reachthe maximum height. (b) Repeat your calculations choosingthe origin at the base of the building.
A particle moves along the x-axis with an acceleration of a = 18t, where a has units of m/s/s. If the particle at time t = 0 is at the origin with a velocity of -12 m/s, what is its position at t = 4.0s?
The position of a particle along a straight-line path is defined by s = (t3 - 6t2 - 15t + 7) ft, where t is in seconds. Determine: (a) the total distance traveled when t = 15s (b) What are the particle’s average velocity, average speed, and the instantaneous velocity and acceleration at this time?
A particle starts from the origin with velocity 5ˆi m/s at t = 0 and moves in the xy plane witha varying acceleration given by→a = (6√tˆj), where→a is in meters per second squared and tis in seconds. (a) Determine the velocity of the particle as a function of time. (b)Determine the position of the particle as a function of time.
Position, Displacement, and Average Velocity Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a) 5.0 m directly above the origin and (b) 2.0 m below the origin?
A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90 m and a takeoff speed 70 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35’s acceleration decreases to a constant acceleration of 5.0m/s2 at 30 with respect to the horizontal. (a) What is the initial acceleration of the F-35 on the deck of the aircraft carrier to make it airborne? (b) Write the position and velocity of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (c) At what altitude is the fighter 5.0 s after it leaves the deck of the aircraft carrier? (d) What is its velocity and speed at this time? (e) How far has it traveled horizontally?
A very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. How long a time does he have to get out of the way if the shot was released at a height of 2.20 m and he is 1.80 m tall?