The average speed of MER is 8.9 km/hr with an empty payload.With a full payload of rocks, the average speed drops to 5.5 km/hr .Find the best location for point T so that you minimize the total travel TIME for the distance (AT) + (AB). Recall that

1.Working with your mission planning team, determine the best location for point T so that the total time it take for MER to complete the mission is minimized.Use technology to complete this portion.Show your setup for the equations, but you do not need to show the actual calculations.Be sure to test the endpoints as well.Round your solution to the nearest hundredth.

2.What is the minimum time for this mission?

3.Show your solution on your mission graph by highlighting or labeling MER's path for the shortest TIME traveled using the color RED.

4.Are the solutions for the best location to collect rocks in order to minimize distance and minimize time the same?If they are different, provide a possible explanation for why this is the case.