(Solved): A box is sliding along a curved ramp \( \left(y=0.5 x^{2}\right) \). Determine the velocity of a pa ...

A box is sliding along a curved ramp \( \left(y=0.5 x^{2}\right) \). Determine the velocity of a particle when \( a=s^{1 / 2} \mathrm{~m} / \mathrm{s}^{2} \) at \( s=5 \mathrm{~m} \). At \( x=2 \mathrm{~m}, y=1.6 \mathrm{~m} \), velocity is \( 8 \mathrm{~m} / \mathrm{s} \) and tangential acceleration is \( 4 \mathrm{~m} / \mathrm{s}^{2} \). What is the magnitude of acceleration? [2.5]