In: Physics
A rocket is launched straight up. It contains two stages (Stage 1 and Stage 2) of solid rocket fuel that are designed to burn for 10.0 and 5.0 s, respectively, with no time interval between them. In Stage 1, the rocket fuel provides a net upward acceleration of 18 m/s2. In Stage 2, the net upward acceleration is 13 m/s2. Neglecting air resistance, calculate the maximum altitude above the surface of Earth of the payload and the time required for it to return back to the surface.
maximum altitude m
time required s
Stage 1
Initial velocity of the rocket
Acceleration
Time
Consider the altitude is
We know
Stage 2
Consider the speedafter first stage is
Consider the altitude in 2nd stage is
Now maximum altitude above the Earth surface is
Consider the time required to return back to surface is
Now