If the Uncertainty in the Position of a Proton Is $0.053 \mathrm {~nm}$

Multiple Choice

If the uncertainty in the position of a proton is $0.053 \mathrm {~nm}$ , what is the uncertainty in its speed? ( $h =$ $6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , m _ { \text {proton } } = 1.67 \times 10 ^ { - 27 } \mathrm {~kg}$ )

A) $0.60 \mathrm {~km} / \mathrm { s }$
B) $2.2 \mathrm {~m} / \mathrm { s }$
C) $1.2 \mathrm {~km} / \mathrm { s }$
D) $0.98 \mathrm {~km} / \mathrm { s }$
E) $37 \mathrm {~m} / \mathrm { s }$