A 2.44×104-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered i
n the problem, assume that g remains constant. Inside the rocket, a 18.9-N instrument hangs from a wire that can support a maximum tension of 44.1 N .7 How far is the rocket above the earth's surface when it breaks the sound barrier? Find the minimum time for this rocket to reach the sound barrier (330 m/s) without breaking the inside wire. Find the maximum vertical thrust of the rocket engines under these conditions.
a) to find the distance to break the sound barrier (v = 330 m / s) we use the kinematic relationship
v² = v₀² + 2 a x
To find the acceleration suppose the rocket does not break the wire that holds the load, so we can use the second Newton law to find the maximum acceleration