- #1

Toranc3

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## Homework Statement

In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s^2 upward. At 25.0 seconds after launch, the second stage fires for 10 seconds, which boosts the rocket's velocity to 132.5m/s upward at 35 seconds after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air resistance is negligible.

A) Find the maximum height that the stage two rocket reaches above the launch pad.

## Homework Equations

y=yo + vo*t +1/2*a*t^(2)

vy=vo + a*t

## The Attempt at a Solution

**First stage:**

y=yo + vo*t +1/2*a*t^(2)

y=1/2(3.5m/s^(2))*(25s)^(2)

y=1093.75m

Vy=Vo + a*t

Vy=3.50m/s^(2)*25s= 87.5m/s

Final velocity of first stage=87.5m/s

**Second Stage:**

Initial velocity of second stage=87.5m/s

vy=vo+a*t

132.5m/s=87.5m/s +a*10sec

a=4.5m/s^(2)

New acceleration=4.5m/s^(2)

y=yo + vo*t +1/2*a*t^(2)

y=1093.75m + 87.5m/s*10s + 1/2(4.5m/s^(2))*100s= 2193.75m

Is this the correct answer? Thanks!