mechanics-SUVAT

Question 1

finding final velocity without displacement

Answer 1

v=u+at

Question 2

finding displacement without final velocity

Answer 2

s=ut+1/2at^

Question 3

finding acceleration without displacement

Answer 3

a=v-u/t

Question 4

finding final velocity without time

Answer 4

v^=u^+2as

Question 5

finding displacement without acceleration

Answer 5

(u+v/2)t

Question 6

proof of acc=change in v/change in time

Answer 6

a=v-u/t
at=v-u
at+u=v
v=u+at

Question 7

proof of distance moved = average speed X time

Answer 7

s=(u+v/2)t

Question 8

proof v=u+at

Answer 8

v=u+at
v-u=at
v-u/a=t

add equation s=(u+v/2)t
s=(u+v/2)t(v-u/a)
s= v^-u^/2a
2as=v^-u^
u^+2as=v^
v^=u^+2as

Question 9

proof s=(u+v/2)t

Answer 9

s=(u+v/2)t
s=(u+u+at/2)t
s=(2u+at/2)t
s=(u+1/2at)t
s=ut+1/2at^