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Answer:
OK so this may or may not help u ...
this can be taken as the straight line with equation
y = mx + c
here f(x) is taken to be y
the attached pic is the graph of this function
so I think the value of x before it explodes would be 18.875
and x represents the time
and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302