Question

8. A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = –16t2 + 148t + 30. How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. (1 point)
9.25 s; 30 ft
4.63 s; 640.5 ft
4.63 s; 1,056.75 ft
4.63 s; 372.25 ft

Answer 1

Maximums (or minimums) of quadratic functions in the form ax² + bx + c are at the x value
\[\frac{ -b }{ 2a }\]

Answer 2

what?