8.) A member of the local rocketry club launches her latest rocket from a large field. At the moment its fuel is exhausted, the rocket has a velocity of 240 ft/sec and an altitude of 544 ft (t is in seconds) : Use the projectile function to create your equationh(t) = −16t^2+ vt + k , v is velocity and k is your initial height.a.) Write the function that models the height of the rocket after fuel is exhausted.b.) How high is the rocket at t=0?c.) How high the rocket is 5 seconds after fuel is exhausted?d.) What is the maximum height attained by the rocket?e.) How many seconds was the rocket airborne after its fuel was exhausted (how long till it hits the ground)? Round to the nearest hundredth of a second.

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Asked Sep 27, 2019
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8.) A member of the local rocketry club launches her latest rocket from a large field. At the moment its fuel is exhausted, the rocket has a velocity of 240 ft/sec and an altitude of 544 ft (t is in seconds) : Use the projectile function to create your equation
h(t) = −16t^2+ vt + k , v is velocity and k is your initial height.
a.) Write the function that models the height of the rocket after fuel is exhausted.
b.) How high is the rocket at t=0?
c.) How high the rocket is 5 seconds after fuel is exhausted?
d.) What is the maximum height attained by the rocket?
e.) How many seconds was the rocket airborne after its fuel was exhausted (how long till it hits the ground)? Round to the nearest hundredth of a second.

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Expert Answer

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Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific subparts to be answered then please submit that subpart only or specify the subpart number in your message.

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(a) The function that models the height of the rocket after fuel is exhausted is given as follows.

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The projectile function is given as h(t)=-16/2 +vt+5. v is the velocity and k is the initial height The function required is h(t)-16f2 +240f +544| Since 240 ft/s was the velocity and 544 ft was the heoght of the rocket when the fuel was exhausted.

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Step 3

(b) Obtain the height of the rocket w...

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h(t)-16t 240t +544 =-16(0)240(0)+544 h(0) 544 ft

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