Question

Two bodies move uniformly towards each other. They become 4 m nearer in every 1 second, and get 4 m closer every 10 second. If they move in the same direction with their previous speeds, the speeds of the bodies are

\begin{tabular} { c c c c | } \hline $\mathbf { A }$ & & & \ $\leftarrow u _ { 1 }$ & $u _ { 2 } \longrightarrow$ & $\longleftarrow - u _ { 1 }$ & $u _ { 2 } \longrightarrow$ \ \hline \end{tabular}

• A. 1.8 ms^-1, 1.8 ms^-1
• B. 2.2 ms^-1, 2.0 ms^-1
• C. 2.2 ms^-1, 1.8 ms^-1
• D. 1.5 ms^-1, 2.5 ms^-1

Answer 1

Answer: (C)

2.2 ms^-1, 1.8 ms^-1

Answer 2

u₁ + u₂ = 4 ……….. (i)

u₁ - u₂ = 0.4 ………. (ii)

Adding (i) and (ii)

2u₁ = 4.4 or u₁ = 2.2 ms^-1

and u₂ = 1.8 ms^-1