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As you are headed to class, your friend leans out the window of your apartment 10 mabove you and shouts that you took her car keys rather than your own. Since you are in ahurry, you decide to toss your friend's keys up to her while she drops your keys down toyou.You throw the keys just hard enough to reach her outstretched hand. At what heightabove you will the two sets of keys pass each other?

Question
As you are headed to class, your friend leans out the window of your apartment 10 m
above you and shouts that you took her car keys rather than your own. Since you are in a
hurry, you decide to toss your friend's keys up to her while she drops your keys down to
you.You throw the keys just hard enough to reach her outstretched hand. At what height
above you will the two sets of keys pass each other?
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As you are headed to class, your friend leans out the window of your apartment 10 m above you and shouts that you took her car keys rather than your own. Since you are in a hurry, you decide to toss your friend's keys up to her while she drops your keys down to you.You throw the keys just hard enough to reach her outstretched hand. At what height above you will the two sets of keys pass each other?

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Step 1

Consider the key which is thrown from the window as case 1.In this case, the initial velocity of key is zero. According to Newton’s equation of motion, the expression for the distance (h1) covered by key is:

1
.(1)
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1 .(1)

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Step 2

Consider the key which is thrown from the ground as case 2.In this case, the initial velocity of key is u. According to Newton’s equation of motion, the expression for the distance (h2) covered by key is:

h,ut
2
.(2)
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h,ut 2 .(2)

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Step 3

In case 2, the final velocity of the key is zero. So, the ...

2gh
и:
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2gh и:

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Science

Physics

Kinematics

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