Question

Name two physical quantities which can be obtained from v-t graph?

Answer 1

A physical quantity, by definition, can be measured. The two measurable quantities that can be obtained from a velocity-time graph that depicts the relationship between the velocity (v) and time (T) of a particle.

1. Now, the time derivative, or graphically, the slope of the velocity-time graph at any time depicts the acceleration of the particle at that time , since acceleration is the rate of change of velocity with time , vector a = d(vector v)/dt
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2. If one wishes to calculate the displacement of a particle between two time instants, the area under the v-t curve between vertical lines drawn at the two time instants would yield the displacement , since the definite integral of velocity between two time instants yields the displacement of the particle between those instants, for velocity vector is the time derivative of displacement, or vector v= d (position vector r)/dt
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These two physical quantities, acceleration at any instant of time and displacement between two time instants can be easily measured from such a graph.

Answer 2

velocity and time are the quantities