A particle moves along a line so that its velocity at time t is v(t)= t^2-t-6 m/s
a) Find thedisplacement of the particle during the time period 2< or equal to t< or equal to 4
and interpret the result.
b) Find the distance traveled during this time period.

Please give step by step answers please.
1) The position versus time for a certain object moving along the x-axis is shown. The object's initial position is -3meters.
The graph is position in meters for the y axis and the x axis is time in seonds.
Point one on the grpah for 0 sec. is at (0,-3), 1 sec at (1,3), 2 sec (2

1. A particle moves along the x-axis. Its position varies with time and is given by equation x =-6t + 3t^2 where x is in metres and t is in seconds.
a) Sketch the position time graph for the particle between 0s and 4s.
b) What is thedisplacement of the particle after the first second?
c) What is the average velocity of the p

An object is under the force F = (k1*x) i - (k2*y) j. Calculate the work done by this force when the object:
a) moves on the x-axis fromthe origin to the point (a,0), and then goes from (a,0) until (a,b) parallel to the y-axis;
b) moves fromthe origin to the point (0,b), and then goes from (0,b) until (a,b) parallel to t

The position of a particle which moves along a straight line is defined by: x=t^3-6t^2-15t+40, where x is in feet and t is in seconds. Determine the time at which the velocity will be zero, the position and distance traveled at that time, and the acceleration of the particle at that time.

1. A package is at rest on a conveyer belt which is initially at rest. The belt is started and moves to the right for 1.5s with a constant acceleration of 3.2m/s^2. The belt then moves with a constant deceleration a_2 and comes to a stop after a total displacement of 4.6m. Knowing that the coefficients of friction between the pa

1) A plane flies 485 km away from its base at 708 m/s, then flies back to its base at 1062 m/s. What is the average speed in m/s?
2) See attachment and solve problems 15 - 17.

** Please see the attachment for the complete problem description **
A retarding force, symbolized by the dashdot in the figure to the right, slows the motion of the weighted spring so that the mass's position at time t is y = 22e^(-t) cos t, t >=0. Find the average value of y over the interval 0 < t < pi