Kinematics W1Q1: Please answer each part step by step and explain each step (even if minor)  in detail please.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
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1D Kinematics W1Q1: Please answer each part step by step and explain each step (even if minor)  in detail please.

Question 4.
Alice the astronaut finds herself on Planet X with some unknown gravi-
tational acceleration. She is hovering in her spacecraft at some unknown
height from the ground with a stopwatch and she has a plan to figure out the
strength of gravity: solve some systems of equations! She decides to throw
some rocks straight up from her spacecraft and time how long they take to
land. In her first trial she throws the rock up at 5 m/s and it takes 6 s to
land. In her second trial she throws the rock up at 8 m/s and it takes 7 s to
land.
(a) What is the acceleration due to gravity?
(b) How high is her spacecraft?
(c) If Alice were to jump to the ground with 0 initial velocity, how fast
would she be moving when she hit the ground?
(d) Assuming the acceleration due to gravity is 10 m/s² on the Earth, what
height would one need to jump from (again with 0 initial velocity) to
land at the same speed? (Don't try at home!)
Transcribed Image Text:Question 4. Alice the astronaut finds herself on Planet X with some unknown gravi- tational acceleration. She is hovering in her spacecraft at some unknown height from the ground with a stopwatch and she has a plan to figure out the strength of gravity: solve some systems of equations! She decides to throw some rocks straight up from her spacecraft and time how long they take to land. In her first trial she throws the rock up at 5 m/s and it takes 6 s to land. In her second trial she throws the rock up at 8 m/s and it takes 7 s to land. (a) What is the acceleration due to gravity? (b) How high is her spacecraft? (c) If Alice were to jump to the ground with 0 initial velocity, how fast would she be moving when she hit the ground? (d) Assuming the acceleration due to gravity is 10 m/s² on the Earth, what height would one need to jump from (again with 0 initial velocity) to land at the same speed? (Don't try at home!)
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