while hiking, marek throws a rock off a cliff that is roughly 10 meters above a lake. this situation is…
while hiking, marek throws a rock off a cliff that is roughly 10 meters above a lake. this situation is modeled by the equation h = -4.9t² + 10, with h representing the height in meters and t the time in seconds. if you were to set up a table to determine when the rock hits the water, what would be a reasonable scale for the range? (1 point) 2 1/10 10 5
Answer
Explanation:
Step1: Determine when rock hits water
Set $h = 0$ in $h=-4.9t^{2}+10$. So, $0=-4.9t^{2}+10$, then $4.9t^{2}=10$, and $t^{2}=\frac{10}{4.9}$, $t=\sqrt{\frac{10}{4.9}}\approx\sqrt{2.04}\approx 1.43$ seconds.
Step2: Analyze range scale
The height $h$ starts at 10 and goes to 0. A scale of $\frac{1}{10}$ would give very precise but many - entries in the table. A scale of 10 is too large as the height range is only from 0 to 10. A scale of 5 is also large. A scale of 2 is reasonable as it can capture the change in height from 10 to 0 in a manageable number of steps.
Answer:
2