A motorcycle starts its trip along a straight path from position x0 = 5m with a speed of 8m/s at a constant rate. At position x = 8.5m its speed is 6m/s. Find the displacement equation of this motion as a function of time

The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The initial velocity of the object is v(0)=−1v(0)=-1 m/s. Round your answers to four decimal places. v(t) = -7cos(t) + 6 The objects displacement from time 0 to 3 is:   17.01216 meters Find the total distance traveled by the object from time 0 to time 3.

A physics teacher walks 5 km East, 2.5 km South, 5 km West, and finally 2.5 km North. The entire motion lasted for 3 hours. Determine the average speed and the average velocity.

A particle undergoes a constant acceleration of 4.00 m/s². After a certain amount of time, its velocity is 13.8 m/s. (Where applicable, indicate the direction with the sign of your answer.) (a) If its initial velocity is 6.9 m/s, what is its displacement during this time? (b) What distance does it travel during this time? (c) If its initial velocity is -6.9 m/s, what is its displacement during this time? (6) What is the total distance the particle travels during the interval in part (c)? m Audional Materiale