(i) Using the equation of motion \(v^2 = u^2 + 2as\), where \(v = 1.5\) m s\(^{-1}\), \(u = 2.5\) m s\(^{-1}\), and \(s = 4\) m, we have:
\(1.5^2 = 2.5^2 + 2a \times 4\)
\(2.25 = 6.25 + 8a\)
\(8a = 2.25 - 6.25\)
\(8a = -4\)
\(a = -0.5\) m s\(^{-2}\)
The deceleration is 0.5 m s\(^{-2}\).
(ii) Using Newton's second law, the acceleration \(a = -g \sin \alpha\).
Given \(a = -0.5\) m s\(^{-2}\), we have:
\(-0.5 = -g \sin \alpha\)
\(\sin \alpha = \frac{0.5}{g}\)
Assuming \(g = 9.8\) m s\(^{-2}\),
\(\sin \alpha = \frac{0.5}{9.8}\)
\(\alpha = \sin^{-1}(0.051)\)
\(\alpha \approx 2.9^\circ\)