The missile at A takes off from rest and rises vertically to B, where its fuel runs out in 8 s. If the acceleration varies with time as shown, determine the missiles height hB and speed vB. If by internal controls the missile is then suddenly pointed 45 as shown, and allowed to travel in free flight, determine the maximum height attained, hC, and the range R to where it crashes at D.

Problem 12-99

The missile at A takes off from rest and rises vertically to B, where its fuel runs out in 8 s. If the acceleration varies with time as shown, determine the missiles height hB and speed vB. If by internal controls the missile is then suddenly pointed 45 as shown, and allowed to travel in free flight, determine the maximum height attained, hC, and the range R to where it crashes at D.

Step by step solution

Step 1 of 4

In the first part we calculate height and velocity in point B:After integrating twice,we get an equation for height as a function of time: