Pregunta
(b) Using the quadratic formula \( x=\frac{-1}{2 a} \) 13. A toy rocket is launched vertically upward from ground level, and its height can be represented by the function \( \mathbf{h ( t )}=\mathbf{- 1 6 \mathbf { t } ^ { 2 }}+\mathbf{2 4 0 t} \), with \( h(t) \) representing the height (in feet) after \( t \) seconds. a) What's the initial velocity of the rocket, in feet per second?
Ask by West Klein. in the United States
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The initial velocity of the rocket is 240 feet per second.
Solución
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Como
The Deep Dive
The initial velocity of the rocket can be found by looking at the coefficient of \( t \) in the height function \( h(t) = -16t^2 + 240t \). This coefficient represents the rocket's initial velocity at \( t = 0 \). Therefore, the initial velocity is 240 feet per second. So, it’s like the rocket is shot out of a cannon, zooming up into the sky with a speedy burst of energy! 🌌🚀
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