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Give below are two statements
Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time. In the light of given statement, choose the correct answer from the options given below.
 

Option: 1

Both Statement I and Statement II are true.


Option: 2

Statement I is correct but Statement II is false.


Option: 3

Both Statement I and and Statement II are false.


Option: 4

Statement I is incorrect but Statement II is true.


Answers (1)

best_answer

\overrightarrow{\mathrm{v}}=\frac{\mathrm{d} \overrightarrow{\mathrm{s}}}{\mathrm{dt}} \Rightarrow \int \mathrm{d} \overrightarrow{\mathrm{s}}=\int \overrightarrow{\mathrm{v}} \mathrm{dt}

Area of \overrightarrow{\mathrm{v}} vs time gives displacement

\overrightarrow{\mathrm{a}}=\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}} \Rightarrow \int \mathrm{d} \overrightarrow{\mathrm{v}}=\int \overrightarrow{\mathrm{a}} \mathrm{dt}

Area of \vec{a}vs t graph gives change in velocity

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Kuldeep Maurya

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