Question #ed182

1 Answer
Aug 12, 2015

Take the three other displacement equations with #t# and eliminate it.

Explanation:

We take these equations,

#v = u + at#
#s = ½ (u+v) t #
#s = ut + ½ at²#

The first equation can be written as
#t = (v-u)/a#

which can be substituted into the second equation
#s = ½ (u+v) * (v-u)/a#

which can be reorganized as
#2as = (u+v)(v-u)#

which, finally, can be reorganized again as
#v^2 = u^2 + 2as#

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