#### James Smith The Third

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A rocket is fired vertically from the ground with an initial velocity of 60ms^-1. It is subject to a force that gives it a constant acceleration of -10ms^-2. After t seconds it is x m above the ground with velocity v ms^-1

a. express v^2 in terms of x

b. express v in terms of t

c. what is the greatest height reached by the rocket?

d. when does it reach this height?

e. where is the rocket 3 seconds after being fired?

f. when is the rocket 105m above the ground?