5. On the planet of Vormir, the acceleration of gravity is negative 4 meters per second per second. You drop a stone off the top of a 50 meter cliff. Initially the stone has a velocity of 0 meters per second, but it is accelerating downwards due to gravity. (a) Find an equation for the velocity of this stone (as a function of time) (b) Find an equation for the position of this stone (as a function of time) (c) How long does it take until the stone hits the ground (in seconds)? (d) What is the velocity of the stone when it hits the ground? (e) Find the velocity and position equations if instead of dropping the stone, I threw it upwards with an initial velocity of 10 meters per second.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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5. On the planet of Vormir, the acceleration of gravity is negative 4 meters per second per second.
You drop a stone off the top of a 50 meter cliff. Initially the stone has a velocity of 0 meters
per second, but it is accelerating downwards due to gravity.
(a) Find an equation for the velocity of this stone (as a function of time)
(b) Find an equation for the position of this stone (as a function of time)
(c) How long does it take until the stone hits the ground (in seconds)?
(d) What is the velocity of the stone when it hits the ground?
(e) Find the velocity and position equations if instead of dropping the stone, I threw it upwards
with an initial velocity of 10 meters per second.
Transcribed Image Text:5. On the planet of Vormir, the acceleration of gravity is negative 4 meters per second per second. You drop a stone off the top of a 50 meter cliff. Initially the stone has a velocity of 0 meters per second, but it is accelerating downwards due to gravity. (a) Find an equation for the velocity of this stone (as a function of time) (b) Find an equation for the position of this stone (as a function of time) (c) How long does it take until the stone hits the ground (in seconds)? (d) What is the velocity of the stone when it hits the ground? (e) Find the velocity and position equations if instead of dropping the stone, I threw it upwards with an initial velocity of 10 meters per second.
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