Solution Found!
Answer: An egg is thrown nearly vertically upward from a
Chapter 2, Problem 46E(choose chapter or problem)
Problem 46E
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower’s hand. Ignore air resistance. (a) What is the initial speed of the egg? (b) How high does it rise above its starting point? (c) What is the magnitude of its velocity at the highest point? (d) What are the magnitude and direction of its acceleration at the highest point? (e) Sketch ay-t, vy-t, and y-t graphs for the motion of the egg.
Questions & Answers
QUESTION:
Problem 46E
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point 30.0 m below its starting point 5.00 s after it leaves the thrower’s hand. Ignore air resistance. (a) What is the initial speed of the egg? (b) How high does it rise above its starting point? (c) What is the magnitude of its velocity at the highest point? (d) What are the magnitude and direction of its acceleration at the highest point? (e) Sketch ay-t, vy-t, and y-t graphs for the motion of the egg.
ANSWER:
Solution 46E
Let us have a look at the following figure.
Suppose the time taken by the egg to reach the top height is
and the time back to the point of start is also the same. Since the time of flight is 5.00 s, hence the time taken to reach a point below 30 m of the origin is (5-t-t) s or (5-2t) s.
Now, at the maximum height, initial speed …..(1) , since final speed is zero.
Now, when the egg drops to the point of origin from the maximum height,
…..(2)
When the egg falls to 30 m below the point of origin,