Assignment:
A rocket is modelled by a particle that moves along a vertical line. From launch, the rocket rises until its motor cuts out after 13 seconds. At this time it has reached a height of 490 metres above the launch pad and attained an upward velocity of 70ms−1. From this time on, the rocket has a constant upward acceleration of −10 m s−2 (due to the effect of gravity alone).
(a) Choose the s-axis (for the position of the particle that represents the rocket) to point upwards, with origin at the launch pad. Take t = 0 to be the time when the rocket motor cuts out.
(i) What is the maximum height (above the launch pad) reached by the rocket?
(ii) How long (from launch) does the rocket take to reach this maximum height?
(b) After how long (from launch) does the rocket crash on to the launch pad? Give your answer in seconds, correct to one decimal place.
Provide complete and step by step solution for the question and show calculations and use formulas.