COMEDK · Physics · 3. Motion In One Dimension
The acceleration of a train between two stations is shown in the figure. The maximum speed of the train is
- A \(60 \mathrm{~m} / \mathrm{s}\)
- B \(30 \mathrm{~m} / \mathrm{s}\)
- C \(120 \mathrm{~m} / \mathrm{s}\)
- D \(90 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(30 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & v_{\max }=\text { Maximum positive area of } a-t \text { graph } \\ & =\text { area between } 0 \text { and } 8 \mathrm{~s} \\ & \text { Area of triangle }+ \text { Area of rectangle }=\frac{1}{2} \times 4 \times 5+4 \times 5 \\ & =30 \mathrm{~m} / \mathrm{s}…
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