Physics - NLM Question with Solution | TestHub

Before the break: $a=\frac{90-50}{5}=8$m/s ${}^2$; after 2 s the block is at 16 m moving up at 16 m/s

The 3 kg part falls from 16 m with 16 m/s upward: $16=-16t+5t^2$, giving $t=4$s

The remaining 2 kg accelerates at $a^{\prime }=\frac{90-20}{2}=35$m/s ${}^2$

In those 4 s it rises $16\times 4+\frac{1}{2}\times 35\times 16=344$m, reaching $16+344=360$m

Separation when the 3 kg part lands: $360$m