The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground
Given that height of the object can be found using the function h(t)=-12t²+36t, the time taken for the object to hit the ground is calculated as follows: At the time the object hits the ground, height h(t)=0. Substituting this value in the equation we get: 0=-12t²+36t solving for t we obtain. 12t²=36t 12t=36 hence t=4 thus the time taken for the object to hit the ground is 4 seconds
