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Solve the given problems.A helicopter takes off such that its height $h$ (in $\mathrm{ft}$ ) above the ground is $h=25$ sec $0.16 t$ for the first 8.0 s of flight. What is its vertical velocity after $6.0 \mathrm{s} ?$
Calculus 1 / AB
Chapter 27
Differentiation of Transcendental Functions
Section 2
Derivatives of the Other Trigonometric Functions
Derivatives
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This exercise We have a church is 25 seconds 0.116. So the first eight seconds of the flight. So we want to know the vertical velocity After six seconds. So it's going to be hpe prime, which will equal 25 second 0.16 X. I am a tangent Of 0.16 x. Um and then if we treat this as a function F of X, we see that this would be our graph as a result. So if we look at F of six at six seconds, we see that we're going about 62.26 m per second. So that would be our vertical velocity and that's our final answer.
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