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

- A \(80 \mathrm{~ms}^{-1}\)
- B \(40 \mathrm{~ms}^{-1}\)
- C \(18 \mathrm{~ms}^{-1}\)
- D \(2 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(B) \(40 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
As, we know
Area under \(a-t\) graph \(=v-u\)
\(\Rightarrow \frac{1}{2} \times 8 \times 10=v (\because u=0)\)
\(\Rightarrow v=40 \mathrm{~ms}^{-1}\)
Area under \(a-t\) graph \(=v-u\)
\(\Rightarrow \frac{1}{2} \times 8 \times 10=v (\because u=0)\)
\(\Rightarrow v=40 \mathrm{~ms}^{-1}\)
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