taylorjaninegoforth taylorjaninegoforth
  • 03-08-2020
  • Mathematics
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Solve application problems using radical equations. A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?

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  • 09-08-2020

Answer:

[tex]\large \boxed{\text{5.29 s}}[/tex]

Step-by-step explanation:

The appropriate free fall equation is  

y = v₀t + ½gt²

Data:

v₀ = 0

g = 32.17 ft·s⁻²

Calculation:

[tex]\begin{array}{rcl}450 &=& v_{0}t + \dfrac{1}{2}gt^{2}\\\\& = & 0 \times t + \dfrac{1}{2}\times 32.17t^{2}\\\\& = & 16.08t^2\\t^{2}& = & \dfrac{450}{16.08}\\\\& = & 27.97\\t & = & \textbf{5.29 s}\\\end{array}\\\text{It took $\large \boxed{\textbf{5.29 s}}$ for the phone to reach the ground.}[/tex]

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