The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity.

The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity.

Name: The acceleration of a particle along a straight line is defined by a=(
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

See similar textbooks

Similar questions

The acceleration of a particle as it moves along a straight line is given by a = (2t - 1)m/s^2, where t is in seconds. If s = 1m and V = 2m/s when t = 0, determine the particle's velocity and position when t = 6s. Also, determine the total distance the particle travels during this time period.
A particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.06 m/s2, and B = -0.51 m/s3. What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?
The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²
The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.8 s, V = i m/s, a = i m/s2 When t = 3.7 s, V = i m/s, a = i m/s? When t = 4.7 s, V = i m/s, a = i m/s? When a = 0, V = m/s
The acceleration of a particle is given by a = 2t - 15, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is 5o = -6 m, and the initial velocity is vo= 5 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.9 s, S= i V= a= i i m m/s m/s²
The acceleration of a particle moving along a straight line is a = (11 - 1.0s) m/s², where s is in meters. If v = 0 when s = 0, determine the magnitude of the particle's velocity when s = 7.0 m.
A particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is in meters per second, A = 3.56, and B = -1.5 what is the acceleration, in meters per second squared, of the particle position at x = 2.31m?
An airplane has a velocity ofv=(5m/s)i+(4m/s)jatt1=3s. For the time interval from t1=3s to t2=13s the average acceleration is a=(.5m/s2)i+(.2m/s2)j. At 13s find the magnitude and direction of the velocity of the airplane.
The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s^2 , where t is in seconds. If s = 1 m and v = 2 m>s when t = 0, determine the particle’s velocity and position when t = 6 s. Also, determine the total distance the particle travels during thistime period.
The position of a particle is defined byr = {20 cos t i+ 8 sint j}m, where t is in seconds and the arguments for the sine and cosine are given in radians. Determine the magnitudes of the velocity and acceleration of the particle when t = 3 s.
Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.
The coordinates of a particle moving along a curve are x(t) = -2t2 +15 and y(t) = t2 -10t + 15 , m whent is in seconds. Calculate the magnitude of velocity and acceleration when t= 5 sec.