Problema Solution
The height of the object thrown with a velocity of 32 ft/sec from the roof of a 150 feet tall building is modeled by h(t)= -16t^2 - 32t + 150. How long does it take before the object hits the ground?
Answer provided by our tutors
The function "h(t)= -16t^2 - 32t + 150" shows that when t=0, h(t)=150, indicating the object was thrown from a 150 feet tall building.
To reach the ground, falling at 32 ft/sec based on the provided function, we solve for h(t)=0:
0=-16(t^2)-32(t)+150
t={2.22102, -4.22102}
The positive value shows that it takes approximately 2.2 seconds before the object hits the ground.