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Mobile App Chapter 1: Q. 13 (page 87)
If you are on the moon, then an orange falling from 20 feet has a height of feet when it has fallen for t seconds.
(a) Graph the position function s(t) and find the time that the orange will hit the surface of the moon.
(b) Make a table to record the average rates that the orange is falling during the last second, half-second, quarter-second, and eighth-of-a-second of its fall on the moon.
(c) From the data in your table, make a guess for the instantaneous final velocity of the orange at the moment it hits the surface of the moon.
Short Answer
Step by step solution
part (a) Step 1. Given information
Given is:
If you are on the moon, then an orange falling from 20 feet has a height of feet when it has fallen for t seconds.
We have to graph the position function.
Make a table to record the average rates
Make a guess for the instantaneous final velocity of the orange at the moment it hits the surface of the moon.
Part (a) Step 2. Make a graph
Given function is:
The graph of the function is;
At t=2.75, the orange will hit the surface of the moon.
Part (b) Step 1. Make a table
Table to record the average rates that the orange is falling during the last second, half-second, quarter-second, and eighth-of-a-second of its fall is:
| t | 1 | |||
| s(t) | 17.35 | 19.34 | 19.83 | 19.96 |
Part (c) Step 1. Final velocity
From the data in the table, we can estimate -14.5 feet per second on the impact it hits the surface of the moon.
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