An object moves along the x-axis according to the equation x (1) =~ 3t +12t 6. where tis in seconds. For the time interval t=0 to t=3 s, (1) find the acceleration: (2) calculate the distance traveled: and (3) determine the displacement of the particle

Starting at x = -18 m at time t = 0 s, an object takes 18 s to travel 46 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity?

The acceleration of a particle traveling along a straight path is shown in the graph below.  The particle's velocity at t=0 is 0.0 m/s.  Sketch the velocity versus time and position versus time graphs. How far will the particle move during the 60-second time period shown? the picture is of the acceleration versus time graph

Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum   In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.   From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).