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A rocket with mass 3030 kg is fired from rest from the ground at an elevation angle of 58.0° The motor exerts a thrust of 61.2 kN at a constant angle of 58.0° with the horizontal for 48.0 s and then cuts out. Ignore the mass of fuel consumed and neglect aerodynamic drag. Calculate (a) the altitude of the rocket at motor cut-out and (b) the total distance from firing point to impact.

A rocket with mass 3030 kg is fired from rest from the ground at an elevation angle of 58.0° The motor exerts a thrust of
61.2 kN at a constant angle of 58.0° with the horizontal for 48.0 s and then cuts out. Ignore the mass of fuel consumed and neglect aerodynamic drag. Calculate (a) the altitude of the rocket at motor cut-out and (b) the total distance from firing point to impact.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
6 years ago
236-273_1.PNG
Round off to two significant figures,
236-1959_1.PNG
236-1361_1.PNG
Round off to three significant figures,
vx = 514 m /s

236-2460_1.PNG
The horizontal distance travelled in time t1 is:
236-379_1.PNG
The total horizontal distance say x travelled by the rocket is:
236-707_1.PNG
Therefore the total horizontal distance travelled by the rocket is 5.88 x 104 m.

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