A particle moves along a straight a) The average velocity on the line with equation of...
Average and Instantaneous Velocity A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times...
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...
3. The particle travels along a straight line with a velocity (22 - 5t) m/s, where t is in seconds. If s 10 m whent0, determine the following: a. The position of the particle when t-4s b. The total distance traveled during the time interval from t-0 to 4 s c. The acceleration when t 2s
Previous Problem List Next (1 point) A particle that moves along a straight line has velocity (t) = te- meters per second after seconds. How many meters will it travel during the first seconds? Hint: When we put into seconds, the particle should have traveled a distance of meters
A particle moves along the x axis according to the equation x = 1.91 2.99t-1.00e, where x is in meters and t is in seconds. (a) Find the position of the particle at t 2.90 s (b) Find its velocity at t- 2.90 s m/s (c) Find its acceleration at t 2.90s m/s? My Note (a) Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing...
(1 point) A particle that moves along a straight line has velocity u(t) = te-21 meters per second after t seconds. Find the distance the particle travels during the first t seconds. meters Note: Your answer should be a function of t.
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin πt + 2 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] ? cm/s (ii) [1, 1.1] ? cm/s (iii) [1, 1.01] ?cm/s (iv) [1, 1.001] ?cm/s (b) Estimate the instantaneous velocity of the particle when...
A particle moves along a line with a velocity v(t)=4t−6, measured in meters per second. Find the total distance the particle travels over the time interval [0,3] .