(a)
To find: The value of
(a)
Answer to Problem 70E
The value of
Explanation of Solution
Given information: On a small airless planet a rock is dropped from rest to fall is represented by
Calculation:
As given that rock travels
Substitute
Therefore, the value of
(b)
To find: The average speed for the fall.
(b)
Answer to Problem 70E
The average speed for the fall is
Explanation of Solution
Given information: On a small airless planet a rock is dropped from rest to fall is represented by
Calculation:
Use the formula for the speed of the object.
Now substitute
Initially the object was at rest so
Now substitute these values in formula for speed.
Therefore, the average speed for the fall is
(c)
To find: The speed of the rock when it hits the bottom.
(c)
Answer to Problem 70E
The speed of the rock when it hits the bottom is
Explanation of Solution
Given information: On a small airless planet a rock is dropped from rest to fall is represented by
Calculation:
The speed of the rock when it hits the bottom is the instantaneous speed of the rock at
The instantaneous speed of an object at
Use the formula for average speed.
Substitute
Substitute
Substitute these values in the formula for average speed.
Further simplify,
Substitute
Therefore, the speed of the rock when it hits the bottom is
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
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