kelsey and her little brother used a rubber band to launch a toy rocket into the air. the rockets height, in…

kelsey and her little brother used a rubber band to launch a toy rocket into the air. the rockets height, in meters, after t seconds can be modeled by the expression -4.9t(t - 3.3). complete the sentence. after being launched, the rocket took seconds to return to the ground.

kelsey and her little brother used a rubber band to launch a toy rocket into the air. the rockets height, in meters, after t seconds can be modeled by the expression -4.9t(t - 3.3). complete the sentence. after being launched, the rocket took seconds to return to the ground.

Answer

Explanation:

Step1: Set height equal to 0

The rocket is on the ground when its height is 0. So we set $-4.9t(t - 3.3)=0$.

Step2: Use zero - product property

If $ab = 0$, then either $a = 0$ or $b=0$. Here, $a=-4.9t$ and $b=t - 3.3$. For $-4.9t=0$, we get $t = 0$ (this is the time of launch). For $t - 3.3=0$, we solve for $t$ by adding 3.3 to both sides of the equation. So $t=3.3$.

Answer:

3.3