Step-by-step explanation: Initially, the object is moving away from the origin in the positive x-direction but decelerating at constant rate until it reaches rest and then, the objects returns to the origin with a constant acceleration. By substituting the position equation of an object accelerating at constant rate, the following expression is found:
Which is a second-order polynomial. The time can be found easily by applying the General Second-Grade Equation, whose two roots are presented below:
<span>Round trip for robot, because it has to get to the destination and back = 3 miles
Rate of robot is 4 miles per hour.
t = time for robot to make delivery.
4r = 3
r = 3/4 = 0.75
It will take the robot 0.75 hours to make the delivery and come back to re restaurant.</span>