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MHT CET · Physics · Motion In One Dimension

The acceleration (a) - time (T) graph for the body starting from rest is given below. The maximum speed of the body is
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  1. A \(40 \mathrm{~m} / \mathrm{s}\)
  2. B \(80 \mathrm{~m} / \mathrm{s}\)
  3. C \(160 \mathrm{~m} / \mathrm{s}\)
  4. D \(200 \mathrm{~m} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(40 \mathrm{~m} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

\(v_{max} = \text{Area under a-t graph from } T=0 \text{ to } T=10 \, \mathrm{s}\) \(v_{max} = \frac{1}{2} \times 10 \, \mathrm{s} \times 8 \, \mathrm{m/s^2}\)
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