# Vxf vxi a most oken we deal with constant acceleraon

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Unformatted text preview: on of par#cle with constant accelera#on There is a very common example of constant accelera#on: the accelera#on of free fall, i.e., the accelera#on due to gravity: the famous g = 9.8 ms ­2. It is interes#ng that all bodies, irrespec#ve of their shapes and masses have this free fall accelera#on, in absence of air resistance. vxf − vxi a= Most oKen we deal with constant accelera#on: x Δt This expression gives one of the kinema#c equa#on we use very frequently: vxf = vxi + ax Δt If we start from t = 0, Δt = t – 0 = t and this becomes v −v vxf =axxi= afx t xi v +x Δt Note that this equa#on follows just from the deﬁni#on of (constant) accelera#on Equa#on (1) Mo#on of par#cle with constant accelera#on (contd…) Since we are dealing with constant accelera#on, the average velocity can be wriXen as vxi + vxf vx , avg = 2 x f − xi We already know that average velocity is given by: vx , avg = Δt x f − xi For our case of star#ng...
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