Answer
a) 2.47 m/$s^{2}$
b) 2.24 m/$s^{2}$
Work Step by Step
a)
$v^{2}$ = $u^{2}$ + 2ax
a = $\frac{v^{2} - u^{2}}{2x}$
= $\frac{7.70^{2} - 0^{2}}{(2)(12)}$
= 2.47 m/$s^{2}$
b)
horizontal component of acceleration
= 2.47cos(25$^{\circ}$)
= 2.24 m/$s^{2}$