A 90-kg tight end moving at 9.0 m/s encounters at 400 N•s impulse. Determine the velocity change of the tight end.

Verified Answer :

Δp=mΔv
400 N.s = (90kg) (vf-9m/s)
400 = 90 vf - 810
400 + 810 = 90 vf
1210 = 90vf 
vf= 13.4 m/s

Answer: The change velocity of the tight end is 4.44 m/s

Explanation:

Mass of the tight end = 90 kg

Initial velocity =\(u\) = 9.0 m/s

Final velocity =\(v\)

\(Impulse=Force\times Time\)

\(Impulse=Mass \times acceleration\times Time\)

\(a=\frac{dv}{dt}=\frac{[v-u]}{t}\)

\(impulse=Mass \times [v-u]\)

\(400 Nm=90 kg\times[v-9.0 m/s]\)

\(v=13.44 m/s\)

Change in velocity = 13.44 m/s - 9m/s = 4.44 m/s

The change velocity of the tight end is 4.44 m/s