Let f(x) = 14x3 + 28x2 – 46x and g(x) = 2x + 7. which is the solution set to the equation 1 12 f(x) = g(x)?
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For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds