Final Velocity = 14m/s
Displacement = 56m
Explanation:
U (initial velocity) = 2m/s
A (acceleration) = 3m/s^2
T (time) = 4s
v (final velocity) = ?
S (displacement) = ?
FIRST FIND FINAL VELOCITY:
[tex]a = \frac{v - u}{t} [/tex]
(i) Multiply both sides by t:
[tex]a \times t = v - u[/tex]
(ii) Add u to both sides:
[tex](a \times t) + u = v[/tex]
(iii) rearrange formula:
[tex]v = (a \times t) + u[/tex]
v = ( 3 × 4 ) + 2
v = 12 + 2
v = 14m/s
SECOND FIND DISPLACEMENT:
[tex]v = \frac{s}{t} [/tex]
(i) Multiply both sides by t:
[tex]v \times t = s[/tex]
(ii) Rearrange formula:
[tex]s = v \times t[/tex]
s = 14 × 4
s = 56m
Not sure why it isn't one of the options but im pretty sure I did all the steps right...
