Question

11. The distance S an object travels under the influence of gravity in time t seconds is
given by S(t) = gť + at + b where, (g is the acceleration due to gravity), a, b are
constants. Verify wheather the function S(t) is one-one or not.
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Answer 1

Step-by-step explanation:

S(t) = (1/2) gt2 + at + b

  Let t be 1, 2, 3, ..., seconds 

S(1) = (1/2) g(1^2) + a(1) + b = (1/2) g + a + b

  S(2) = (1/2) g(2^2) + a(2) + b = 2g + 2a + b

  Yes, for every different values of t, there will be different values as images. And there will be different preimages for the different values of the range. 

Therefore it is one-one function.