A heat seeking missile is programmed to head in the direction in which the tempe

Question

A heat seeking missile is programmed to head in the direction in which the temperature T increases most rapidly. The missile's sensors have collected the following data: Straight ahead T increases at a rate of 1(degree/m), 30 degrees to the left T increases at a rate of 0.5 (degrees/m), 45 degrees above the forward direction, T decreases at a rate of 0.2 (degrees/m) In which direction should the missile head, and at what rate is the temperature increasing in this direction? Give the direction as a unit vector.

Explanation / Answer

In the previous answer, the temp was considered to be incresing in45 degrees above the forward direction, but it was given to be decreasing. So, a - sign has to be added.

45 degrees above the forward direction: -0.2(1.4/2 j + 1.4/2 k)

Average =-0.43 i +1.11 j - 0.14 k

Unit vector :[-0.43 i +1.11 j - 0.14 k]/1.436

Rate of increase in temp = magnitude = 2.045

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.