Please do step by step clear and show eqations used. Thank you A rocket designed to place...

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Physics

Please do step by step clear and show eqations used. Thankyou
A rocket designed to place satellites into orbit is carried to acruising altitude. When the plane is flying in a straight line andat a constant speed of 850 km/h, the rocket is dropped. After thedrop the plane continues to fly at the same pseed and in a straightline. The rocket falls for a bried time, and then its propulsionstarts. Once the propulsion starts the combined effects of gravityand thrust give the rocket a non-constant acceleration of (29.43 +0.44t) m/s^2 directed at an angle of 30.0 degrees above thehorizontal. For safety the rocket should be at least 1.00km infront of the plane when it climbs through the plane's altitude.Ignore drag.
a) If the rocket falls for 5.15 s before engaging propulsion,how much total time will pass before the rocket passes back throughthe cruising altitude of the plane?
b) will the rocket safely pass 1.oo km in front of the plane forthis free-fall time of 5.15s? What will be the horizontal distancebetween the rocket and the plane when they are at the same altitude?

Answer & Explanation Solved by verified expert

3.6 Ratings (411 Votes)

Let as assign time 0 at the moment when propulsion of therocket starts Hence the time when it was released from the planebecomes time 515 sWhen the rocket got separated from the plane there was no changein the velocity of the plane This implies the velocity of therocket just after the separation must also be equal to the velocityof the plane which is 850 kmhr 23611 ms See Answer

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