Question

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = −16t + 160t + 120 models the h height at t seconds of the flare. How long will it take for the flare to hit the ground? (to the nearest tenth of a second)

Answer 1

10.7 sec.

Explanation:

When the flare hits the ground, the height of the flare will be equal to 0; that is h = 0.

We substitute h with 0 in the equation and solve for t. This can be done graphically or analytically. Kindly find the attached for the graphical solution.

From the graph, we see that h is 0 when t is 10.7 sec.