an object is dropped from a bridge and allowed to freefall to the ground. the height of the object over time…
an object is dropped from a bridge and allowed to freefall to the ground. the height of the object over time can be modeled using h(t)=144 - 16t². how many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds
Answer
Explanation:
Step1: Set height to 0
When the object reaches the ground, $h(t)=0$. So we set up the equation $0 = 144-16t^{2}$.
Step2: Rearrange the equation
Add $16t^{2}$ to both sides: $16t^{2}=144$.
Step3: Solve for $t^{2}$
Divide both sides by 16: $t^{2}=\frac{144}{16}=9$.
Step4: Solve for $t$
Take the square - root of both sides. Since $t\geq0$ (time cannot be negative in this context), $t = 3$.
Answer:
3 seconds