The Height in Feet of an Object After $t$ Seconds Is Given by the Function

question 78

Short Answer

The height in feet of an object after $t$ seconds is given by the function
$f ( t ) = - 16 t ^ { 2 } + 70 t + 3 .$
Find (a) the maximum height the object will attain, and (b) the number of seconds before the object will hit the ground. Round your answers to the nearest hundredth.