Question

HELP if s=ut+1/2at^2 and v= u + at, then v in terms of s is?
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Answer 1

Answer:v=u+at

t=v-u/a

also

s=ut+1/2at^2

but t=v-u/a

s=u(v-u/a)+1/2a(v-u/a)^2

sa=uv-u^2+1/2(v^2+u^2-2uv)

(taking LCM)

2sa=2uv-2u^2+v^2+u^2-2uv

2as=v^2-u^2

Explanation:

Answer 2

v=u+at

t=v-u/a

also

s=ut+1/2at^2

but t=v-u/a

s=u(v-u/a)+1/2a(v-u/a)^2

sa=uv-u^2+1/2(v^2+u^2-2uv)

(taking LCM)

2sa=2uv-2u^2+v^2+u^2-2uv

2as=v^2-u^2