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Travka [436]
3 years ago
13

An object thrown straight up falls back and is caught at the same place it is launched from. Its time of flight is T; its maximu

m height is H. Neglect air resistance. What is its average velocity for the second half of the trip
Physics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

The average velocity for the second half of the trip is -2H/T

Explanation:

Given;

time of flight as T

maximum height as H

The maximum height of the flight is given by;

H = \frac{1}{2}aT^2\\\\ a = \frac{2H}{T^2}\\\\ But \ average \ velocity \ is \ given \ by , v = aT\\\\v = (\frac{2H}{T^2} )T\\\\v = \frac{2H}{T} \ (This \ is \ the \ average \ velocity \ for \ the \ entire \ trip)\\\\During \ the \ second \ half \ of \ the \ motion, the  \ height \ of \ travel \ is \ -H \ (negative \ direction)\\\\The \ time \ of  \ travel \ is \ \frac{1}{2} \ of  \  time \ of \ flight \ (T) = \frac{T}{2} \\\\The \ average \ velocity = \frac{-H}{T/2} = \frac{-2H}{T}

Therefore, the average velocity for the second half of the trip is -2H/T

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