Question

The flight path of an object can be modeled by h(t)= -16t^2 +30T+13 where h is the height of the object in feet and t is the time in seconds how long will it take the object to land on the ground?

A) 2.2 sec
B) 0.7 sec
C) 1.3sec
D) 0.4sec"

Answer 1

The object will take approximately 1.3 seconds to land on the ground.

Step-by-step explanation:

The flight path of the object can be modeled by the equation h(t) = -16t^2 + 30t + 13, where h is the height of the object in feet and t is the time in seconds. To find out how long it will take for the object to land on the ground, we need to find the value of t when h(t) equals zero.

We can do this by setting the equation equal to zero: -16t^2 + 30t + 13 = 0. We can solve this quadratic equation using the quadratic formula. The values of t we obtain are approximately t = 1.3 and t = 0.4.

Since time cannot be negative, the object will take approximately 1.3 seconds to land on the ground.