A mannequin is dropped from the top of a fire department training tower onto a rescue trampoline 67 feet below. How long does it take before the mannequin is caught by the trampoline? Use h (t) = - 16t2 + 67.

Question

Mathematics

Laney

12 August, 13:29

A mannequin is dropped from the top of a fire department training tower onto a rescue trampoline 67 feet below. How long does it take before the mannequin is caught by the trampoline? Use h (t) = - 16t2 + 67.

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Answers (1)

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Rivers · Answer 1

I got 2.09375 seconds using differential calc, but - 2.046 using the quadratic formula

Step-by-step explanation:

Im unsure which technique is supposed to be used her. I didnt know if this was a calculus problem or a quadratic equation. So, choose from the two answers depending on which class this is for

Differential:

h (t) is the height with respect to time. So I changed it to h' (t) and took the derivative of the function using the power rule.

Quadratic:

There is no B here so the formula boils down to the square root of - 4ac/2a