Problem 1.   Here are some problems concerning simple functions:

• Write down the contract, purpose statement and header for a function that computes the distance that a rocket has traveled, given the time since its launch.

  Solution:

    ;; distance : Number Number -> Number  [PT: 1]
    ;; the distance that a rocket has traveled, 
    ;; given the time since launch [PT 1]
    (define (distance t) ...) ;; [PT 1]
  

• Provide three examples for a function that computes how far a car has traveled in t seconds according to the formula

  distance(t) = - 1/2 · 10 · t2 + 100

  Solution:

  [PT 3]
  t seconds  |  distance 
  ----------------------
     0       |    100 
     1       |     95
     2       |     80
  

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