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KCET · Physics · Motion In One Dimension

A particle starts from rest. Its acceleration \(a\) versus time \(t\) is shown in the figure. The maximum speed of the particle will be

  1. A \(80 \mathrm{~ms}^{-1}\)
  2. B \(40 \mathrm{~ms}^{-1}\)
  3. C \(18 \mathrm{~ms}^{-1}\)
  4. D \(2 \mathrm{~ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(40 \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

As, we know
Area under \(a-t\) graph \(=v-u\)
\(\Rightarrow \frac{1}{2} \times 8 \times 10=v (\because u=0)\)
\(\Rightarrow v=40 \mathrm{~ms}^{-1}\)