Answer:
0.63 m
Explanation:
Energy is conserved, so the initial kinetic energy is equal to the final potential energy. The kinetic energy is half the mass times the square of the speed, and the potential energy is the weight times the height.
KE = PE
½ mv² = mgh
h = ½ v² / g
h = ½ (3.5 m/s)² / (9.8 m/s²)
h = 0.63 m