Applications- Incl. Minimum and Maximum

Question

An object is thrown upward at a speed of 99 feet per second by a machine from a height of 3 feet off the ground. The height hℎ of the object after t� seconds can be found using the equation h(t)=−16t²+99t+3.

Round all answers to the nearest hundredth.

When will the height be 6 feet? (Write both results, using a comma between).

 ________

When will the object reach the ground?

___________

Answer 1

a) substitute 6 for h and solve -16t2+99t+3 to find t= 6.16, .00219 ... choose .00219 sec as 6.16 seconds is the time when the object passes 6 feet coming down

b) substitute 0 for h and solve -16t2+99t+3=0 to find t=6.22, -.00188 sec ... choose 6.22 seconds as negative time is a nonsense