Chapter 12 - Kinematics of a Particle - Section 12.10 - Relative-Motion of Two Particles using Translating Axes - Problems - Page 104: 233

Yes, he can catch the ball.

$s=s_0+v_0t$ $d_{AC}=0+50\cos 60 t$ $v=v_0+a_c t$ $-50 \sin 60 = 50 \sin 60 - 32.2 t$ $t=2.69$ s $d_{AC}=67.24$ ft $d_{BC}=\sqrt{30^2+(67.24-20)^2}=55.96$ ft $v_B=\frac{55.96}{2.69}=20.8$ ft/s Since $v_B=20.8$ ft/s $< (v_B)_{max}=23$ ft/s Yes, he can catch the ball.