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Question

# A body covers 5 metersin first 5 seconds, then 10 metersin next 10 seconds and finally 15 meters in 15 seconds. This is body executinguniform or non uniform motion. Explain in detail.

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Solution

## $\mathrm{Distance}\mathrm{covered}\mathrm{in}\mathrm{first}5\mathrm{s}=5\mathrm{m}\phantom{\rule{0ex}{0ex}}\mathrm{Distance}\mathrm{covered}\mathrm{in}\mathrm{next}5\mathrm{s}=\mathrm{Distance}\mathrm{covered}\mathrm{in}10\mathrm{s}-\mathrm{Distance}\mathrm{covered}\mathrm{in}5\mathrm{s}\phantom{\rule{0ex}{0ex}}=10-5=5\mathrm{m}\phantom{\rule{0ex}{0ex}}\mathrm{Distance}\mathrm{covered}\mathrm{in}\mathrm{that}\mathrm{next}5\mathrm{s}=\mathrm{Distance}\mathrm{covered}\mathrm{in}15\mathrm{s}-\mathrm{Distance}\mathrm{covered}\mathrm{in}10\mathrm{s}\phantom{\rule{0ex}{0ex}}=15-10=5\mathrm{m}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Condition}\mathrm{for}\mathrm{uniform}\mathrm{motion}:\phantom{\rule{0ex}{0ex}}\mathrm{Equal}\mathrm{distances}\mathrm{convered}\mathrm{in}\mathrm{equal}\mathrm{intervals}\mathrm{of}\mathrm{time}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathbf{As}\mathbf{}\mathbf{the}\mathbf{}\mathbf{given}\mathbf{}\mathbf{data}\mathbf{}\mathbf{satisfies}\mathbf{}\mathbf{the}\mathbf{}\mathbf{condition}\mathbf{}\mathbf{for}\mathbf{}\mathbf{uniform}\mathbf{}\mathbf{motion}\mathbf{,}\mathbf{}\mathbf{it}\mathbf{}\mathbf{can}\mathbf{}\mathbf{be}\mathbf{}\phantom{\rule{0ex}{0ex}}\mathbf{concluded}\mathbf{}\mathbf{that}\mathbf{}\mathbf{the}\mathbf{}\mathbf{body}\mathbf{}\mathbf{executes}\mathbf{}\mathbf{uniform}\mathbf{}\mathbf{motion}\mathbf{.}\phantom{\rule{0ex}{0ex}}$

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