In: Physics
When t = 0, the position of a point is s= 6m, and its velocity is v= 2m/s. From t = 0 to t= 6s, the acceleration of the point is a = 2+ 2t2 m/s2 .From t = 6s until it comes to rest, its acceleration is a = -4m/s2
a.) What is the total time of travel?
b.) What total distance does the point move?
From time to , acceleration of point is
Integraging above equation ,
By the time the point is at
Now at time , the point starts with velocity and an acceleration , finally comes to rest in a time
Using
Using
a) Total time of travel is
b) Total distance the point moved is