A stone thrown from the top of a building is given an initial velocity of 25 m/s straight upward. The building is 70 m high, and the stone just misses the edge of the roof on its way down, as shown in Figure (1). Using t=0 as the time the stone leaves the thrower's hand at position A, determine: (A) The time at which the stone reaches its maximum height, (B) The maximum height, (C) The time at which the stone returns to the height from which it was thrown, (D) The velocity of the stone at this instant, and 70 m (E) The velocity and position of the stone at t= 5 s. Figure (1): Position and velocity versus time for a freely falling stone thrown initially upward with a velocity Vyi=25.

A stone thrown from the top of a building is given an initial velocity of 25 m/s straight upward. The building is 70 m high, and the stone just misses the edge of the roof on its way down, as shown in Figure (1). Using t=0 as the time the stone leaves the thrower's hand at position A, determine: (A) The time at which the stone reaches its maximum height, (B) The maximum height, (C) The time at which the stone returns to the height from which it was thrown, (D) The velocity of the stone at this instant, and 70 m (E) The velocity and position of the stone at t= 5 s. Figure (1): Position and velocity versus time for a freely falling stone thrown initially upward with a velocity Vyi=25.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

A stone thrown from the top of a building is given an initial velocity of 25 m/s straight
upward. The building is 70 m high, and the stone just misses the edge of the roof on its way
down, as shown in Figure (1). Using t=0 as the time the stone leaves the thrower's hand at
position A, determine:
(A) The time at which the stone reaches its maximum height,
(B) The maximum height,
(C) The time at which the stone returns to the height from which it was thrown,
(D) The velocity of the stone at this instant, and
70 m
(E) The velocity and position of the stone at t= 5 s.
Figure (1): Position and velocity versus
time for a freely falling stone thrown
initially upward with a velocity Vyi=25.

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