A catapult launches a boulder with an upwark velocity pf 184 feet per second. the heigh of the boulder in feet after t seconds is given by the function h(t)=-16t^2+184t+20. how long does it take the boulder to reach its maximum height? What is the boulders maximum height? Round to the nearest hundredth.
Reaches a maximum height of 11.6 feet after 5.75
Reaches a maximum height of 549 feet after 11.5 seconds
Reaches a maximum height of 549 feet after 5.75 seconds
Reaches a maximum height of 23.2 feet after 11.6 seconds. <---- My answer
look back at your previous post of this
the ages of students in a ballet class are 8, 4, 7, 7, 8, 9, 10, 7, 9, years make a box plot of the data and find the range and interquartile range. decide which measure better describes the data set and explain your reasoning
8-6
a cuy has 356 hight of 11.9
what was the toal sum
To find the time it takes for the boulder to reach its maximum height, we need to determine the vertex of the quadratic function h(t)=-16t^2+184t+20 representing the height of the boulder.
The vertex of a quadratic function in the form f(t) = at^2 + bt + c is given by t = -b / (2a).
In this case, a = -16 and b = 184. Substituting these values into the formula, we have:
t = -184 / (2*(-16))
t = -184 / (-32)
t = 5.75
So, it takes the boulder 5.75 seconds to reach its maximum height.
To find the maximum height, we substitute this value back into the function h(t):
h(5.75) = -16(5.75)^2 + 184(5.75) + 20
h(5.75) = -16(33.0625) + 1058 + 20
h(5.75) = -529 + 1058 + 20
h(5.75) = 549
Therefore, the boulder's maximum height is 549 feet.
Based on the given choices, none of the options align with the correct answers. The correct answer should be "Reaches a maximum height of 549 feet after 5.75 seconds".