Pregunta
Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of
from a
height of 64 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is
. Complete parts (a) through (f) below.
a. Determine the velocity v of the stone after t seconds.
b. When does the stone reach its highest point?
The stone reaches its highest point after
(Type an integer or a decimal.)
height of 64 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is
a. Determine the velocity v of the stone after t seconds.
b. When does the stone reach its highest point?
The stone reaches its highest point after
(Type an integer or a decimal.)
Ask by French Mckenzie. in the United States
Nov 06,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The stone reaches its highest point after 1.5 seconds.
Solución

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Como
Mind Expander
To find out when the stone reaches its highest point, recall that the highest point occurs when the velocity
is zero. Setting the velocity equation to zero:
Solving for
:
So the stone reaches its highest point after 1.5 seconds.
In physics, this upward motion can be visualized as a brief battle against gravity. When the stone’s upward velocity (which initially starts strong at 48 ft/s) gradually decreases due to the pull of gravity (-32 ft/s²), it eventually has to pause and turn back down! This is a classic example of projectile motion, showcasing how objects defy gravity for a moment before succumbing to it.
Feeling curious? Dive deeper into the fascinating world of projectile motion! There are many resources available that explain how different angles of release and varying initial velocities can affect the range and height of a projectile. Textbooks on classical mechanics or online simulations can bring the concepts to life, illustrating beautifully how the same principles apply to everything from basketball shots to rocket launches!
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