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v-t Graph

The graph abo...

Question

The graph above shows velocity $v$ Vs time $t$ relation for a particle moving in a straight line. Identify which of the following displacement $s$ vs. time $t$ graph is equivalent to above graph?

I only

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III only

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I and II only

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II and III only

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I, II, and III

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Solution

The correct option is D I and II only
The velocity is constant in the given graph.
Let the velocity be $v$ throughout. Thus we have
$\frac{d x}{d t} = v$
$⟹ x = \int_{0}^{t} v d t$
$= v t + c o n s t a n t$
Hence the correct answer is option C.

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The graph above shows velocity v Vs time t relation for a particle moving in a straight line. Identify which of the following displacement s vs. time t graph is equivalent to above graph?

The correct option is D I and II onlyThe velocity is constant in the given graph.Let the velocity be v throughout. Thus we havedxdt=v⟹x=∫t0vdt=vt+constantHence the correct answer is option C.

The graph above shows velocity $v$ Vs time $t$ relation for a particle moving in a straight line. Identify which of the following displacement $s$ vs. time $t$ graph is equivalent to above graph?

The correct option is D I and II only
The velocity is constant in the given graph.
Let the velocity be $v$ throughout. Thus we have
$\frac{d x}{d t} = v$
$⟹ x = \int_{0}^{t} v d t$
$= v t + c o n s t a n t$
Hence the correct answer is option C.