vector question need help: rocket launched toward point at 2000 ft/sec

[guyrun]

QUESTION 3

A rocket has been launched towards the point \(\displaystyle \, \left(\sqrt{\strut tk\,},\, te^k,\, k\right)\,\) at a speed of 2000 ft/sec. What is the position of the rockets after half an hour?

(8 Marks)​

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I tried to differentiate and integrate it, but it seems not right..
Any help?

 

[Deleted member 4993]

QUESTION 3

A rocket has been launched towards the point \(\displaystyle \, \left(\sqrt{\strut tk\,},\, te^k,\, k\right)\,\) at a speed of 2000 ft/sec. What is the position of the rockets after half an hour?

(8 Marks)​

---

I tried to differentiate and integrate it, but it seems not right..
Any help?

This looks like a problem from a test - are you supposed seek external help to solve this problem?

What is the initial position (P_O )of the rocket?

What is the position (P_O ) of the rocket after time t (P_O )?

How can relate this information with the given speed?