Final answer:
The object comes to rest momentarily when its acceleration is zero. To find this position, set the acceleration vector equal to zero and solve for the position vector.
Step-by-step explanation:
The object comes to rest momentarily when its acceleration is zero. To find this position, we need to set the acceleration vector equal to zero and solve for the position vector.
Given a(t) = 5.0i + 2.0j - 6.0 km/s^2, we can set the components equal to zero:
5.0i + 2.0j - 6.0 km/s^2 = 0
From this equation, we can see that only the x-component is non-zero. So, the object comes to rest momentarily when it reaches the position r = (0, r3y) in terms of the unit vectors i^ and j^, where r3y is the y-component of ř3.