How much time passes before the cap hits the ground?
Graduate students throw their graduation caps into the air to convey their hopes and aspirations for a future career. The height, h(t), in feet of the cap in the air t seconds after it is thrown can be modeled by the function:
#h(t) = −16t^2 + 32t+ 4#
Graduate students throw their graduation caps into the air to convey their hopes and aspirations for a future career. The height, h(t), in feet of the cap in the air t seconds after it is thrown can be modeled by the function:
1 Answer
Exact answer:
Explanation:
To find the time at which the cap hits the ground, the height must be equal to
So by setting the height equal to
Solve it as a quadratic:
Factor with GCF:
It is not possible to factor further so let's use the quadratic formula:
Since time can't be negative:
graph{-16x^2+32x+4 [-91.7, 53.6, -21.14, 51.5]}