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A rocket is launched straight up. It contains two stages (Stage 1 and Stage 2) of...

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

Solutions

Expert Solution

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

genius_generous answered 2 years ago
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