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## Homework Statement

a. At launch a rocket ship has a mass M. When it is launched from rest, it takes a time interval t

_{1}to reach speed v

_{1}; at t = t

_{2}, its speed is v

_{2}.

What is the average acceleration of the rocket (i) from the start to t1 and (ii) between t

_{1}and t

_{2}?

For now, I am taking question a as example, but these are the follow up questions:

(b. Assuming the acceleration is constant during each time interval (but not necessarily the same in both intervals), what distance does the rocket travel (i) from the start to t1 and (ii) between t1 and t2?

c. Use your symbolic results to calculate the average accelerations and distances for M = 2.25 * 106 kg, t1 = 8.00 s, v

_{1}= 158 km/h, t2 =1.00 min, and v2 = 1580 km/h.)

## Homework Equations

a= Δv/Δt

F = M * a?

s = v

_{avg}* Δt (in follow up questions)

## The Attempt at a Solution

a) a= Δv/Δt

-> a

_{avg}= Δv/(2*Δt)

i) a

_{avg}= v

_{1}/(2*t

_{1})

ii) a

_{avg}= (v

_{2}-v

_{1})/(2*(t

_{2-}t

_{1}))

Is this correct or did I need to use mass M in the equations?