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A droplet of water flew vertically from a hot spring geyser at an initial speed of 40 m/s. The approximate height (h), in metres, that the droplet will reach, in (t) seconds is modelled by h = 5t² + 40t.
How long before the droplet will reach the ground?
Determine the maximum height reached by the droplet of water.
 2 years ago
 2 years ago
A droplet of water flew vertically from a hot spring geyser at an initial speed of 40 m/s. The approximate height (h), in metres, that the droplet will reach, in (t) seconds is modelled by h = 5t² + 40t. How long before the droplet will reach the ground? Determine the maximum height reached by the droplet of water.
 2 years ago
 2 years ago

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y2o2Best ResponseYou've already chosen the best response.1
1) let h = 0 so 5t²+40t = 0 t(5t+40) = 0 t = 0(refused) or t =8 sec 2) Maximum height is the vertex of the function calculate the x coordinate of the vertex = b/2a = 40/10 = 4 sec. calculate the x coordinate of the vertex = f(b/2a) = f(4) = 5(4)² + 40(4) = 80 m. So max. Height is 80 meters
 2 years ago
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