A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function .
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.

Question

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function . 
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.

anonymous · Answer

$$h = -16t^2 + 112t + 30$$

anonymous · Answer

differentiate h WRT t and equate it to 0 to get the maximum height and substitute it back in the equation to get the maximum height

anonymous · Answer

A. 7 s; 30 ft  
 
 B. 3.5 s; 366 ft  
 
 C. 3.5 s; 618 ft  
 
 D. 3.5 s; 226 ft 



so which one would it be?

anonymous · Answer

@tngirl865 , I am sorry, I can lead you to the answer but I can't present it to you. you have to do the work.
:|

anonymous · Answer

ok just help to get the answer.. I need to pass this test

anonymous · Answer

differentiate the relation wrt t and equate to 0.

anonymous · Answer

ok thanks