A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 112 feet per second.

Question

A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 112 feet per second. The function

h(t)=112t -16t²

gives the height of the falling debris above the ground, in feet, t seconds after the explosion.

A.) Use the given function to find the height of the debris 3 seconds after the explosion:

Answer: After 3 seconds, the height is _____ feet.

B) How many seconds after the explosion will the debris hit the ground?

Answer: ____ seconds.

Answer 1

h(3) = 112 - 16(3²)

0 = 112 - 16t² solve for t