NASA launches a rocket att 0 seconds. Its height, in meters above sea-level, as
ID: 2912346 • Letter: N
Question
NASA launches a rocket att 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = _ 4.9f-2051+ 192. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after How high above sea-level does the rocket get at its peak? The rocket peaks at Previewseconds. Preview meters above sea-level. License Points possible: 1 This is attempt 2 of 3. Score on last attempt: (0, 0), Score in gradebook: (0, 0), Out of: (0.5, 0.5)Explanation / Answer
h(t) = -4.9t^2 + 205 t + 192
a) plugging h(t) = 0
0 = -4.9t^2 + 205 t + 192
t = ( - 205 +- sqrt ( 205^2 - 4 * 192 * -4.9 ) / 2(-4.9 )
t = 42.753
rocket splashes down after 42.753 seconds
2) peak occurs at
t = - 205 / 2(-4.9) = 20.918
rocket peaks at -4.9(20.918)^2 + 205 (20.918) + 192
= 2336.133 metres
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