In an experiment to find the velocity and acceleration of a particular cam rotating at \(10 \mathrm{rad} / \mathrm{s}\), the values of displacements and velocities are recorded. The slope of displacement curve at an angle of ' \(\theta\) ' is \(1.5 \mathrm{~m} / \mathrm{s}\) and the slope of velocity curve at the same angle is \(-0.05 \mathrm{~m} / \mathrm{s}^{2}\). The velocity and acceleration of the cam at the instant are respectively

(a) \(15 \mathrm{~m} / \mathrm{s}\) and \(-5 \mathrm{~m} / \mathrm{s}^{2}\)

(b) \(15 \mathrm{~m} / \mathrm{s}\) and \(5 \mathrm{~m} / \mathrm{s}^{2}\)

(c) \(1.2 \mathrm{~m} / \mathrm{s}\) and \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)

(d) \(1.2 \mathrm{~m} / \mathrm{s}\) and \(-0.5 \mathrm{~m} / \mathrm{s}^{2}\).