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Solved: An entertainer juggles balls while doing other
Chapter 2, Problem 82P(choose chapter or problem)
Problem 82P
An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in the air, she runs to and from a table 5.50 m away at a constant speed of 2.50 m/s, returning just in time to catch the falling ball. (a) With what minimum initial speed must she throw the ball upward to accomplish this feat? (b) How high above its initial position is the ball just as she reaches the table?
Questions & Answers
QUESTION:
Problem 82P
An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in the air, she runs to and from a table 5.50 m away at a constant speed of 2.50 m/s, returning just in time to catch the falling ball. (a) With what minimum initial speed must she throw the ball upward to accomplish this feat? (b) How high above its initial position is the ball just as she reaches the table?
ANSWER:
Solution 82P
Introduction
At first we will calculate the time taken her to reach the same point. Then using this time we can calculate the initial speed of the ball that was thrown and the height that the ball will reach.
Step 1
Total distance travelled by the juggler in the to and from run between the table twice the distance between the table. Hence the total distance is
So the time taken by the joggler in to travel to and from between the table is