1) The velocity of a particle traveling along a curve increases at a constant rate and the velocity of the particle around \( 3 \) seconds into its journey is \( 13 \) ft/sec and the velocity of the particle around \( 8 \) seconds into its journey is \( 24 \) ft/sec. Find the velocity of the particle around \( 10 \) seconds into its journey. Round to the nearest tenth of a foot per second.